How many complex roots does the equation 0=3x5−x4−5x2+1 have?

Answers

Answer 1
the equation has 5 complete roots

5
Answer 2

The given polynomial equation 3x⁵ − x⁴ − 5x² + 1 = 0 has two complex roots.

What is a polynomial?

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

The given polynomial equation below is:

0 = 3x⁵ − x⁴ − 5x² + 1

3x⁵ − x⁴ − 5x² + 1 = 0

The given polynomial equation is a polynomial of degree 5.

The simplest method is to solve it graphically using a graphing program.

Clearly, the polynomial equation is a degree 5 equation, hence it has a maximum of 5 roots.

We may now locate the roots of the equation using the graph.

Since there are 3 real roots, the remaining are two complexes, so there are 2 complex roots

Hence, the given polynomial equation 3x⁵ − x⁴ − 5x² + 1 = 0 has two complex roots.

Learn more about the complex roots here:

https://brainly.com/question/6502147

#SPJ5

How Many Complex Roots Does The Equation 0=3x5x45x2+1 Have?

Related Questions

Which set of graphs can be used to find the solution set to 3e* > >-x?m

Answers

The green-colored area of the graph attached below shows the solution set to 3eˣ>(-1/2)x.

Inequality is the relationship between two expressions showing the relationships like greater than, lesser than, lesser than equals to, and greater than equals to.

Here assume f is a function which is given by f(x)=3eˣ

and g be another function which is given by g(x)= (-1/2)x

Here we have to find the solution graph showing the relationship

f(x) > g(x)

Let at point (a,b) the f(x) and g(x) meet each other.

After that intersection point, g(x) will decrease as g(x) is a decreasing function. and f(x) will increase.

So in the solution set will contain the area where g(x) is larger than f(x).

Therefore the solution graph of this inequality is the green-colored area as shown below,

Learn more about inequality

here: https://brainly.com/question/25275758

#SPJ10

Which of the following is a ballistic stretching exercise?
A.
calf stretch
B.
arm circles
C.
yoga plow
D.
hurdle stretch

Answers

Answer:

B. Arm circles

Hope you have a great day :)

The answer is B - arm circles ….

The absolute value of 5.8 is _________.

Answers

Answer:

5.8

Step-by-step explanation:


5.8! Because the absolute value is the distance from 0

Determine if the following scenarios are mutually exclusive or overlapping. Explain your reasoning.
1. You are taking a multiple choice test. Event A is you choose the correct answer. Event B is you choose D as the answer.
2.You survey students in your school about what grade they are. Event A is the person is a senior. Event B is the person is a junior.

Answers

An Event is the set of results from an experiment in probability. Assume you do an experiment by tossing a coin.

What is an event in probability?

An Event is the set of results from an experiment in probability. Assume you do an experiment by tossing a coin. This experiment results in the coin landing 'heads' or 'tails.' These are the events that are associated with the experiment.

Scenario 1: You are taking a multiple-choice test. Event A is you choose the correct answer. Event B is you choose D as the answer.

The two of the given events will overlap since there is a possibility that the correct answer is option D.

Scenario2: You survey students in your school about what grade they are in. Event A is the person is a senior. Event B is the person who is a junior.

The two of the given events are mutually exclusive events since a person can not be a senior and a junior at the same time.

Learn more about Events:

https://brainly.com/question/12961938

#SPJ1

5.)(2x + 8) - (4y + 1)
6.)-5x * (3x^2 - 2x - 1)

Answers

5) 2x + 8 - 4y - 1 = 2x - 4y + 7

6) -5x(3x² - 2x - 1) = -15x³ + 10x² + 5x


8. If a conditional is true and its hypothesis is true, then its_____ is true.

Answers

Answer: Conclusion

If a conditional is true and its hypothesis is true, then its conclusion is true.

Pythagorean Theorem and its Converse

I need number 6

Answers

Answer:

x = 14.02 units

Step-by-step explanation:

Finding unknown value using Pythagorean theorem:

 This is an isosceles trapezium.  The two perpendiculars  divide the trapezium into two congruent triangles and a rectangle. Let the base of the triangle by 'y'. We can find the value of 'y' using Pythagorean theorem.      

In ΔABC,

                AC² = AB² + BC²

                   19² = 17 ² + y ²

                 361  = 289 + y ²

        361 - 289  = y ²

                      y ² = 72

                      y =√72

                      y = 8.49

x = 31 - 8.49 - 8.49

x = 14.02

find the length of each arc and round the answer to the nearest tenth

PLEASE HURRY IF YOU CAN​

Answers

The length of arc for the options 1,2,3 and 4 willl be 60.39,61.23,10.4 and 7.851 respectively.

What is angle measurement?

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

As a result, when measuring angles in radians,

The length of the arc is:

[tex]\rm l = r \theta[/tex]

Unit conversions;

1 π = 180°

1° = 180/π

315°= 5.49 rad

270° = 4.71 rad

60° = 1.04 rad

150°=2.617 rad

The measure of the length of arc for the given radius;

[tex]\rm L_1 = R_1 \theta \\\\ L_1 = 1 \times 5.49 \\\\\ L_1 = 60.39 \\\\ L_2 = 13 \times 4.71 \\\\ L_2 = 61.23 \\\\ L_3 = 10 \times 1.04 \\\\ L_4 = 10.4 \\\\ L_4 = 3 \times 2.617 \\\\ L_4 = 7.851[/tex]

The length of arc for the options1,2,3 and  4 willl be  60.39,61.23,10.4 and 7.851 respectively.

To learn more about the angle measurement, refer to the link;

https://brainly.com/question/14684647

#SPJ1

HELPPP i need to find standard form and general form, please help

Answers

The equation in slope-intercept form is y = 13/8x -17/8 and the equation in standard form is 13x -8y = 17

Equation of a line

A line is the shortest distance between two points. The equation of a line in slope-intercept form is y = mx + b while as a standard notation is Ax+By = C

Given the coordinate points (-3, -7) and (5, 6)

Determine the slope

Slope = 6-(-7)/5-(-3)

Slope = 13/8

For the y-intercept

6 = 13/8(5) + b

6 = 65/8 + b

b = 6 - 65/8

b = -17/8

The equation in slope-intercept form is y = 13/8x -17/8

Write in standard form

Recall y = 13/8x - 17/8

Multiply through by 8

8y = 13x - 17

-13x + 8y = -17

13x -8y = 17

Hence the equation in standard form is 13x -8y = 17

Learn more on equation of a line here: https://brainly.com/question/13763238

#SPJ1

Help please, can someone answer.

Answers

Answer:

QA) C = 31.4 cm, A = 78.5 cm^2

QB) 36 cm

Step-by-step explanation:

Question A

Circumference formula: 2πr

2π(5) = 31.4 cm

Area formula: πr^2

π(5)^2 = π(25) = 78.5 cm^2

Question B

If you extend the line of the shape to create a quadrilateral and a triangle, you can use the pythagorean theorem to figure out the last length.

9 - 6 = 3

10 - 6 = 4

The lengths of side a and b are 3 and 4, we need to find the length of the hypotenuse

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

25 = c^2

5 = c

Now we can combine this number with the rest of the given lengths

10 + 9 + 6 + 6 + 5 = 36 cm

what value of x makes this equation true , use numerals instead of words.
-2x+3=-15

Answers

Answer:

x = 9

Step-by-step explanation:

-2x + 3 = -15

-2x = -18

x = 9

Answer:

9

Step-by-step explanation:

what value of x makes this equation true , use numerals instead of words.

-2x+3=-15

-2x + 3 = -15

-2x = -15 - 3

-2x = -18

x = -18 : (-2)

x = 9

--------------------

check

-2 * 9 + 3 = -15

-18 + 3 = -15

-15 = -15

the answer is good

Which choice is equivalent to the expression below?
450
OA. 45²
OB. 0
OC. 45
O D. 1

Answers

Answer:

D is the answer because according to the law any number which has 0 at their power is equal to 1.

The correct value of this expression is 1. Letter D

We know that a power is the multiplication of equal factors - according to the exponent. That is, we just multiply the sentence by itself with the value given by the exponent.

Therefore, any number raised to the power of zero will be 1.


What is the initial value of the function represented by this table?

Answers

Answer: 3
________________________________
initial value = starting value when x is 0

as you can see when x is 0 y is 3

so your initial value is 3

________________________________

Hoped this helped.

Round to the nearest hundredth
48.849

Answers

the answer would be 48.85

The box plots show the weights, in pounds, of the dogs in two different animal shelters.

Weights of Dogs in Shelter A
2 box plots. The number line goes from 6 to 30. For the weights of dogs in shelter A, the whiskers range from 8 to 30, and the box ranges from 17 to 28. A line divides the box at 21. For shelter B, the whiskers range from 10 to 28, and the box ranges from 16 to 20. A line divides the box at 18.
Weights of Dogs in Shelter B

Which describes the spread of the data in the two box plots?

Answers

The range of shelter A is 22.  The range of shelter B is 18.

What are the measures of spread?

A box plot is used to study the distribution and level of a set of scores. The box plot consists of two lines and a box. the two lines are known as whiskers. The end of the first line represents the minimum number and the end of the second line represents the maximum number. The range is the difference between the two numbers.

Range of shelter A = 30 - 8 = 22Range of shelter B = 28 - 10 = 18

To learn more about box plots, please check: https://brainly.com/question/27215146

#SPJ1

In the figure below not drawn to scale. DC is a tangent to the circle. DC = 6cm, AB = 5cm. Calculate BC. (3mks) ​

Answers

Answer:

4

Step-by-step explanation:

DA²= CB×CA

6²= y×(y+5)

36=y²+5y

y²+5y-36=0

x1+x2=-5

x1×x2=36

x1=4

x2=-9

x must be positive, then answer is 4

chek: 4×9=36

need answer Asap! Lots of points!

Answers

Answer:

1

Step-by-step explanation:

Via calculator inputs.....

A Triangle
36 cm
perimeter

square
=40cm
perimeter
put them both together
find the
perimeter?

Answers

Answer:

58 cm

Step-by-step explanation:

if both shapes are squares, then the perimeter must be divide by all 4 equal sides

36 / 4 = 9, so each side of the first shape is 9 cm

40 / 4 =10 , so each side of the second shape is 10 cm

by putting the shapes together two of the side seal 1 side of each shape but 10-9 is 1 so add all three sides of the rest of the shape,

so 9+ 9+ 9= 27, then the three side of the second shape,

so 10+ 10+ 10= 30, then that extra 1 cm of difference from the size difference when put together,

so 27+ 30+ 1= 58 cm

If angle 2 is 5x plus 5 degrees and angle 6 is 30 degrees then what is x

Answers

The value of x is 5.

What is Adjacent angle?

Two angles that have the same vertex and a side in common.

Here, m∠2 = m∠6

       5x + 5 = 30

       5x = 25

        x = 25/5

       x = 5

Thus, The value of x is 5.

Learn more about Adjacent angle from:

https://brainly.com/question/12838185

#SPJ1

Which of the following expressions are equivalent to - -13/12

A. -13/-12

B. 13/-12

C. None of the above

Answers

If is -(-13/12) then A. -13/-12

If is -13/12 then B. 13/-12

[tex]-\dfrac{-13}{12}=\dfrac{-13}{-12}=\dfrac{13}{12}\\\\\dfrac{-13}{12}=-\dfrac{13}{12}=\dfrac{13}{-12}[/tex]

Mason can type 210 words in 6 minutes. find the unit rate ( words per mintute )

Answers

Answer:

Step-by-step explanation:

words type per minute =210/6

                                       =35

like you said,
unit rate = words/min
so if 210 words can be typed in 6 mins,

6 mins -> 210 words
(divide 6 throughout)
1 min -> 210words / 6 mins
1 min -> 35 words

therefore, the unit rate is 35 words per minute.

hope this helps you! feel free to clarify!

GIVING BRAINLIEST TO CORRECT ANSWER What rotation about the origin is equivalent to R-200°
A. R-160
B. R560
C. R160
D. R200

Answers

The rotation about the origin that is equivalent to R-200° is; C. R160

How to find the angle of rotation?

We are given;

Origin = -200°

Now, even if we add and also subtract a complete rotation of 360° (or even several rotations of 360°), we will want to have the similar rotation.

Thus;

By adding 360° to -200°, we have;

α = -200° + 360°

α = 160°

Read more about angle of rotation at; https://brainly.com/question/2078551

#SPJ1

Do the fractions and convert to repeating or terminating decimal numbers?

Answers

It should be noted that 16/25 can be converted to a terminating decimal number is 0.64.

How to explain the fraction?

Do the fractions 6/7 and 16/25 convert to repeating or terminating decimal numbers.

In this case, 6/7 converts to repeating decimal numbers. You could represent it, so you don't have to repeat the decimals infinitely, by putting a bar over the repeating decimals like 0.857142 with a bar going over from the 8 to the 2.

Also, 16/25 can be converted to a terminating decimal number which is 0.64.

Learn more about fraction on:

https://brainly.com/question/78672

#SPJ1

please help me answer this matrices question ASAP

Answers

The value of a₃₂ is 7 , Option A is the correct answer.

What is a Matrix ?

Matrix is an array or an arrangement of numbers or expression in rows and column format.

The matrix is given

For a matrix of size mxn , m is the row and n is the column of the matrix.

a₃₂ = This term means 3rd row and 2nd column of the matrix

which is 7

Therefore the value of a₃₂ is 7 , Option A is the correct answer.

To know more about Matrix

https://brainly.com/question/9967572

#SPJ1

Kylie is ordering 9 pizzas for her party. Each pizza is either thin crust or deep dish. Each thin crust pizza costs $20, and each deep dish pizza costs $8 more. If her total including 10% tax is $242, how many thin crust pizzas did she order?

A. 2
B. 3
C. 4
D. 5
E. 8

Answers

Answer:

the answer is A. 2 thin crust pizzas

The answer is 2 because

can someone help me with this question with details​

Answers

Answer:

I think the answer is 5 ( if wrong then do a low rating)

Step-by-step explanation:

The way I found the answer was by using PEDMAS so first I handled [(4 - (-5)) x (-7)] which is the same as 4 + -5 which equals -1 and when multiplied by -7 equals positive 7 because whenever you multiply 2 negatives you get a positive.

Next I solved 6 / (-3) which is -2 since whenever a positive is divided by a negative the quotient is negative. Now the equation is:

-2 + 7 and when solved is -2 + 7 = 5

PLEASE HELP

If the discriminant of an equation is zero, which of the following is true of the equation?


A. It has one complex solution

B. It has two complex solutions

C. It has one real solutions

D. It has two real solutions

Answers

Considering the discriminant of zero for a quadratic equation, the correct option is given by:

C. It has one real solutions.

What is the discriminant of a quadratic equation and how does it influence the solutions?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The discriminant is:

[tex]\Delta = b^2 - 4ac[/tex]

The solutions are as follows:

If [tex]\mathbf{\Delta > 0}[/tex], and it is a perfect square, it has 2 rational solutions.If [tex]\mathbf{\Delta > 0}[/tex], and it is not a perfect square, it has 2 irrational solutions.If [tex]\mathbf{\Delta = 0}[/tex], it has 1 rational solutions.If [tex]\mathbf{\Delta < 0}[/tex], it has 2 complex solutions.

Discriminant of zero is [tex]\Delta = 0[/tex], hence option C is correct.

More can be learned about discriminants at https://brainly.com/question/19776811

#SPJ1

4. Solve: 8−2n−6n=−16
A. n=11
B. n=9
C. n=10
D. n=3

Answers

Answer:

D. n=3

Step-by-step explanation:

8-2n-6n= –16

Take 8 to the other side

-2n-6n= -16-8

Solve them

-8n = -24

Take -8 to the other side

[tex]n \: = \frac{ - 24}{ - 8} [/tex]

n = 3

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{8 - 2n - 6n = -16}[/tex]

[tex]\huge\textbf{Solving for the answer:}[/tex]

[tex]\mathbf{8 - 2n - 6n = -16}[/tex]

[tex]\huge\textbf{Combine the like terms:}[/tex]

[tex]\mathbf{(-2n - 6n) + 8 = -16}[/tex]

[tex]\mathbf{-2n - 6n + 8 = -16}[/tex]

[tex]\mathbf{-8n + 8 = -16}[/tex]

[tex]\huge\textbf{Subtract \boxed{\bf 8} to both sides:}[/tex]

[tex]\mathbf{-8n + 8 - 8 = -16 - 8}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{-8n = -16 - 8}[/tex]

[tex]\mathbf{-8n = -24}[/tex]

[tex]\huge\textbf{Divide \boxed{\bf -8} to both sides:}[/tex]

[tex]\mathbf{\dfrac{-8n}{-8} = \dfrac{-24}{-8}}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{n = \dfrac{-24}{-8}}[/tex]

[tex]\mathbf{n = -24 \div -8}[/tex]

[tex]\mathbf{n = 3}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\textsf{Option D. \boxed{\frak{n = 3}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Please help! I am stuck on this

Answers

Answer:

c.

Step-by-step explanation:

Assuming we are not restricting the domain of f, the inverse isn't a function

[tex] \frac{1}{ {x}^{2} } - 7[/tex]

[tex]y = \frac{1}{ {x}^{2} } - 7[/tex]

[tex]x = \frac{1}{ {y}^{2} } - 7[/tex]

[tex]x + 7 = \frac{1}{ {y}^{2} } [/tex]

[tex] {y}^{2} = \frac{1}{x + 7} [/tex]

[tex]y = \sqrt{ \frac{1}{x + 7} } [/tex]

Since square root are Positve or negative, the function will not be a function.

The correct answer is c.

A school has 320 girls and 250 boys the probity that a girl is left handed 0.2 the probity that a boy is left handed is 0.1 estimate the number of left handed students

Answers

Probability helps us to know the chances of an event occurring. The estimated number of left-handed persons in the school is 89.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given the number of girls is 320, the probability that a girl is left-handed is 0.2. Therefore, the number of girls who are left-handed is,

Number of left-handed girls = (320×0.2) = 64

Given the number of boys is 250, the probability that a boy is left-handed is 0.1. Therefore, the number of boys who are left-handed is,

Number of left-handed boys= (250×0.1) = 25

Hence, the estimated number of left-handed persons in the school is 89.

Learn more about Probability:

https://brainly.com/question/795909

#SPJ1

Other Questions
During the second major wave of immigration, from the late 1800s to early 1900s, immigrants to the united states came mostly from __________. a. mexico, el salvador, and guatemala b. china, japan, and vietnam c. scandinavia, italy, poland, and russia d. england, spain, greece, and portugal please select the best answer from the choices provided. a b c d GIVING BRAINLIEST TO CORRECT ANSWER What rotation about the origin is equivalent to R-200A. R-160B. R560C. R160D. R200 That new techniques are faster and safer has been proved ______________.a. suddenlyb. dramaticallyc. decisively Question 1.6 Note that even though the graphic contains the locations of Mount Rushmore, the outline of the park, and information concerning location (including latitude, longitude, and elevation) at the bottom, it doesn't have any spatial reference for measurements. Why is this how to make 27 using 1,2,3,4 only once The absolute value of 5.8 is _________. Please help! I am stuck on this In the case of sickle cell anemia, the slight alterations in the DNA of red blood cells lead to a. defects in the membranes of these cells. b. changes in the structure of the protein hemoglobin. c. poor use of glucose for energy. d. inability of the cells to make protein. When an organization evaluates people based on the economic or productive potential of their knowledge, experience, and actions, the organization is viewing them as ______. Can somebody please answer asap for brainlist and correct answer? Need help with number 2 please!!! QUESTION 9 OF 100What does it means when you see a sign with an "X" and twoletters "R" sign posted on the roadside? what is the point of videos Conozco a una secretaria que_______ hablar espanolsepasabesaberhablar If angle 2 is 5x plus 5 degrees and angle 6 is 30 degrees then what is x Richard III Act 5 Scene 3 which events from the passage show how parallel plot lines create tension or suspense The Function h is defined by the following rule.h(x) = 2x-2Complete the function table. Use the Change of Base Formula to solve each equation.3x = 27.3 A. 6x 10y=9B. 6x=9C. -10y = 15D. 2x= 15 A tree is making a shadow 22 feet long. The angle of elevation from the tip ofthe shadow to the top of the tree is 50.feet. Round your answer to the nearestThe height of the tree is aboutfoot.