Solve for x in the equation x^2- 10x+ 25=35

Answers

Answer 1

Answer:

[tex]x = 5 + \sqrt{35} \: \: \:or \: \: \: x = 5 - \sqrt{35} \\[/tex]

Step-by-step explanation:

x² - 10x + 25 = 35

Move 35 to the left side of the equation

That's

x² - 10x + 25 - 35 = 0

x ² - 10x - 10 = 0

Using the quadratic formula solve the equation

That's

[tex]x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

From the question

a = 1 , b = - 10 , c = - 10

Substitute the values into the above formula and solve

That's

[tex]x = \frac{ - - 10\pm \sqrt{( { - 10})^{2} - 4(1)( - 10) } }{2(1)} \\ = \frac{10\pm \sqrt{100 + 40} }{2} \\ = \frac{10\pm \sqrt{140} }{2} \\ = \frac{10\pm2 \sqrt{35} }{2} \\ = \frac{10}{2} \pm \frac{2 \sqrt{35} }{2} \\ = 5\pm \sqrt{35} [/tex]

We have the final answer as

[tex]x = 5 + \sqrt{35} \: \: \:or \: \: \: x = 5 - \sqrt{35} \\ [/tex]

Hope this helps you


Related Questions

A standard number cube is rolled. Calculate: P(rolling 1 or 3)

Answers

Answer:

the probability is:

P(A) 2/6 =1/3

Now let's take rolling a prime number:

A prime number is a natural number greater than 1 which can only be divided without a remainder by 1 and itself. So from the numbers on the cube prime numbers are:

2, 3 and 5. The probability of getting a prime number in a single roll is:

P(B) =3/6=1/2

Now to calculate the probability of A and B

you have to multiply both probabilities:

P(A-B)=P(A) . P(B) = 1/3 . 1/2 = 1/6

Step-by-step explanation:)

whats the answer to -|2+5| =

Answers

Answer: -7

Step-by-step explanation:

144:12 = (60:12) +(__ : 12)

Answers

Answer:

x=84

Step-by-step explanation:

144/12 = 60/12 + x/12

12=5+x/12

12-5=x/12

7=x/12

x=84

plyy mark me as brainliest

square root of 4/16
can be classified as a____
number and a____
number.

Answers

rational and whole, 4/16 equals 4

I have 30 ones 2 thousands 4hundred thousands 60tens and 100 hundreds what number am I

Answers

Answer:

412,090

Step-by-step explanation:

math+math+brain+school

What is the exact value of cos(195°)?

Answers

Answer:

I think it is the option c.

please mark me as the brainliest answer and please follow me for more answers to your questions.

6/5(8k+2)=-36solve equation

Answers

Answer:

k=-4

Step-by-step explanation:

[tex]\frac{6}{5} (8*-4+2) = -36[/tex]

Answer:

k = -4

Step-by-step explanation:

6/5 (8k + 2) = -36

5 x 6/5 (8k + 2) = -36 x 5

6(8k + 2) = -180

48k + 12 = -180

48k = -180 - 12

48k = -192

48k/48 = -192/48

k = -4

Give another name for AE

Answers

Answer:  [tex]\text{Line AE}=\overleftrightarrow{EA},\quad \overleftrightarrow{DA}, \quad \overleftrightarrow{AD},\quad \overleftrightarrow{ED},\quad \overleftrightarrow{DE},\quad \text{line r}[/tex]

               [tex]\text{Segment AE}=\overline{EA}[/tex]

Step-by-step explanation:

The line can be named using ANY two points on the line or using the lower case letter.

The segment can be named by placing the letters in any order.

[tex]\overline{AE}=\overline{EA}[/tex]

Given 8x^2 – 3 + 4, what is (are) the constant(s)?

Answers

Answer:

-3 and 4

Step-by-step explanation:

[tex]-3[/tex] and [tex]4[/tex] are the constants

since they aren't multiplied a variable

-3 and 4 would be your answer

What number goes on top?

Answers

Answer:

33

Step-by-step explanation:

each upper cell is the sum of the two cells under it. For example 4 and 5 make 9 so 16+17=33

I need help on these​

Answers

is that online school ?

Step-by-step explanation:

7 is C. 47.50

8 is B. 5 miles

if
[tex] \sqrt{16} [/tex]
=x then x^2 = ​

Answers

Answer
16
I hope this help you

What is the midpoint of A F?

Answers

Hey there! I'm happy to help!

A is -10 and F is -5. To find the number in between two numbers, you add them and divide by 2.

-10+(-5)=10-5=-15

-15/2=-7.5

So, the midpoint is -7.5, which is right in between C and D.

Have a wonderful day! :D

What is the equation of the line that is parallel to y = 2/3x+ 4 and passes through
the point (-7, 1)?

Answers

Answer:

The answer is

[tex]y = \frac{2}{3} x + \frac{17}{3} [/tex]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The original line is y = ⅔x + 4

Comparing with the general equation above

Slope = 2/3

Since the lines are parallel their slope are also the same

Slope of parallel line = 2/3

Equation of the line using point (-7 , 1) and slope 2/3 is

[tex]y - 1 = \frac{2}{3} (x + 7) \\ y - 1 = \frac{2}{3} x + \frac{14}{3} \\ y = \frac{2}{3} x + \frac{14}{3} + 1[/tex]

We have the final answer as

[tex]y = \frac{2}{3} x + \frac{17}{3} [/tex]

Hope this helps you

A question asks: How many hours per week do you watch television? The respondent can answer in minutes and/or hours. What would be the best numerical summary of data from 300 participants? A. Mean, standard deviation, and range B. Median, IQR, and range C. Number and percent of total for each response option D. A or B depending on the distribution of the sample E. B and C

Answers

Answer: D. A or B depending on the distribution of the sample

Step-by-step explanation:

Given: A question ask about how many hours per week do you watch television?

Total participants = 300

Since all participants are different ,  so have their own answer to this question in numerical terms.

We use proportion or percentage to summarize data if data is categorical, but here data is numerical (continuous).

here , we can use either mean or median ( if it has outliers).

For this we need to check the distribution of the data, if it is normal then Mean, standard deviation, and range would be a better option (as mean is the best measure of tendency)otherwise Median, IQR, and range would be a better option .

hence, the correct option is D. A or B depending on the distribution of the sample

1. Find two functions f(x) and g(x) such that f[g(x)] = x but g[f(x)] does not equal x.2. State the vertical, horizontal asymptotes and zeros of the rational function, f(x) = {x^2+3x+2}/{x^2+5x+4}.Why is there no zero at x = –1?3. Give an example and explain why a polynomial can have fewer x-intercepts than its number of roots.

Answers

Answer:

1. [tex]f(x)=x^{2}[/tex] and [tex]g(x)=-\sqrt{x}[/tex]

2. Vertical Asymptote: x=-4

    Horizontal Asymptote: y=1

    Zeros: (-2,0)

    Because the graph will have a hole at x=-1. This is, the graph is not defined for that particular x-value.

3.  [tex]f(x)=x^{2}+4[/tex]

It has two complex roots, so there is no place in the graph where it crosses the x-axis.

Step-by-step explanation:

1. If we find the composite function f[g(x)] with the functions:

[tex]f(x)=x^{2}[/tex] and g(x)=-x, we will get the following:

[tex]f[g(x)]=(-\sqrt{x})^{2}[/tex]

which simplifies to

f[g(x)]=x

on the other hand, if we find g[f(x)] we will get the following:

[tex]g[f(x)]=-\sqrt{x^2}[/tex]

which simplifies to:

g[f(x)]=-x

2.

Before finding the asymptotes, it's a good idea to factor both the numerator and denominator of the function, so we get:

[tex]f(x)=\frac{x^{2}+3x+2}{x^{2}+5x+4}[/tex]

[tex]f(x)=\frac{(x+2)(x+1)}{(x+4)(x+1)}[/tex]

we can now see that this function can be simplified. It is important to simplify this function so we don't confuse vertical asymptotes with holes in the graph, so when simplifying we get the following:

[tex]f(x)=\frac{x+2}{x+4}[/tex]

now we can set the denominator equal to zero.

x+4=0

and solve for x:

x=-4 this is our vertical asymptote.

For the horizontal asymptote, there is a rule that tells us that if the polynomials on the numerator and denominator have the same degree (the same greatest power), then the horizontal asymptote is found by dividing the lead coefficient of the polynomial on the numerator by the lead coefficient on the denominator. In this case the lead coefficients are 1 and 1 so the horizontal asymptote is:

[tex]y=\frac{1}{1}[/tex]

so the horizontal asymptote is at:

y=1.

The zeros of the function are located at the x-values that will turn the numerator of the simplified fraction equal to zero, so we get:

x+2=0

x=-2

so the only zero will be located at (-2,0)

x=-1 is not a zero because the original function is not defined for x=-1, there is a hole in the graph at this x-value.

Take a look at the graph of the function (See attached picture)

3.

This will happen when there are no real zeros. Take for example the function:

[tex]f(x)=x^{2}+4[/tex]

In this case this problem has 2 non-real zeros:

[tex]x^{2}+4=0[/tex]

[tex]x^{2}=-4[/tex]

[tex]x=\sqrt{-4}[/tex]

so:

x=2i   or   x=-2i

since they are complex numbers they cannot be graphed on a coordinate axis, so the graph will not cross the x-axis. See attached picture.

I don’t know how to make a rule:(

Answers

Answer:

*assuming you know the concept of proportionality*

since L is directly proportional to T, an increase in L will result in an increase in T

so the solution of the first part is increases

in part 2, y is inversely proportional to x

which means that an increase in y will result in a decrease in x and vice-versa

So the answer of the second part is decreases

in part 3, since x is directly proportional to y, an increase in x will result in an increase in y

can someone please help me with this geometry question?

Answers

Answer:

I think it would have to be C because 20-13=7

Quanto é 60 x 11 + 346²

Answers

Answer:

120376

Step-by-step explanation:

Primeiro peguei 60x11 e os multipliquei e obtive 660. Em seguida, descobri que 346 ^ 2 é 119716. Somei meus dois números e obtive 120376.

Espero que isso ajude você! :)

Identify the numerator and denominator of the following number.
1/6

Answers

The numerator is the top number while the denominator is the bottom number. So 1 is the numerator and 6 is the denominator.

Determine parallel, perpendicular, or neither!

Answers

Rearrange Line 1 and Line 3’s equations in the form of y = mx + c for easier comparison.

Lines 1 and 2 are parallel, because they have the same gradient.

Lines 1 and 3, and 2 and 3 are neither, because their gradients do not multiply to form -1.
(Gradients of perpendicular lines multiply to form -1.) c

picture attachment is below

Answers

Answer:

D

Step-by-step explanation:

A rational number will either end or repeat forever like the first three, but the fourth one, pi, will go on forever and never repeat, making it irrational.

Evaluate the expression.
35 - (9+8) X 2 =?

Answers

Answer:

35-(17)×2

35-34

i think it helps you

☽------------❀-------------☾

Hi there!

~

[tex]35-(9+8)\times 2=[/tex]

[tex]= 35 - (17)(2)[/tex]

[tex]= 35 - 34[/tex]

[tex]= 1[/tex]

❀Hope this helped you!❀

☽------------❀-------------☾

Give the numerical coefficient of the term.
8m2

Answers

8 is the numerical coefficient because 8m means 8 times m,and “m” is
A variable, so 8 is a coefficient.

What is the average rate of change of the function f (x) = between x = 1 and
x= 3?

Answers

Answe

try asking your techer for help and try divideing

Step-by-step explanation:

help!! 2x - 8 + 3x - 12 = 60

Answers

Answer:

x=16

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2x−8+3x−12=60

2x+−8+3x+−12=60

(2x+3x)+(−8+−12)=60(Combine Like Terms)

5x+−20=60

5x−20=60

Step 2: Add 20 to both sides.

5x−20+20=60+20

5x=80

Step 3: Divide both sides by 5.

5x

5

=80

5

x=16

can I be the brainest please

(3x +1)•2x – x^2 • 3
(3x + 1)^2

Answers

Answer:

3x^2 +2x9x^2 +6x+1

Step-by-step explanation:

[tex](3x +1)\cdot 2x - x^2 \cdot 3\\\\=2x\left(3x+1\right)-3x^2\\\\\mathrm{Expand}\:2x\left(3x+1\right):\quad 6x^2+2x\\\\=6x^2+2x-x^2\cdot \:3\\\\\mathrm{Simplify}\:6x^2+2x-x^2\cdot \:3:\\\quad 3x^2+2x[/tex]

2.

[tex](3x + 1)^2\\\\\mathrm{Apply\:Perfect\:Square\:Formula}:\\\quad \left(a+b\right)^2=a^2+2ab+b^2\\\\a=3x,\:\:b=1\\\\=\left(3x\right)^2+2\cdot \:3x\cdot \:1+1^2\\\\\mathrm{Simplify}\:\left(3x\right)^2+2\cdot \:3x\cdot \:1+1^2:\\\quad 9x^2+6x+1[/tex]

Enter the reciprocal of the fraction. 14/ 3

Answers

Answer:

3/14

Step-by-step explanation:

simply  flip the number

If the average of 2, 7and X is 12 what is the value of X

Answers

Answer:

2+7+X=12

2+7-12=-X

X=3

Amy, Kareem, and Jim served a total of 123 orders Monday at the school cafeteria. Kareem served 4 times as many orders as Jim. Amy served 9 fewer orders than Jim. How many orders did they each serve?

Answers

They each served 289
Other Questions
In the poem "Barbara Frietchie," what "flapped in the morning wind"? the zhou dynasty befan after? What niche do lions fill in their habitat? What was the role and importance of the mississippi river in the development of the Native American settlements? the simplest formula for a compound made from element X(molar mass=79.0g mol) that is 21.0% nitrogen by mass is ___A. XNB. XN2C.X2N2D.X3N2 180 miles /2hours find the unit rate in feet per second In the space provided construct a clear and concise letter to appropriate representative of the company you have had a negative experience with this may be a service or product I didnt meet your expectations view the rubric use it to guide your writing Research Problem: You come across three new species of primates that all cohabitate the same forested area. No one has looked at the behavior of these monkeys before so there is lot to discover about each species. You and a fellow researcher are interested in describing the diet of each of these species (Do they eat fruits? Leaves? Insects? Tree-sap? A combination of sorts?). Your fellow researcher has determined that her hypothesis is that two of the monkeys primarily eat fruit, while one of the monkey species eats tree sap. From fastest to slowest, rank the speeds of the balls 1 s after being thrown. Rank the speeds of the balls from fastest to slowest. To rank items as equivalent, overlap them. Three balls of different masses are thrown straight upward with initial speeds as indicated: PICTURErank speedsrank acclerations 9. Which unit goes with timekgKsmm 1. Do you think your memories can be altered? Explain what is life?????????????????????????????????????????????? Describe the author's word choice using three specific adjectives.What is the author's attitude?ToneWhere is this tone visible in the story?How does the lone differ from the mood in this story?Story - all summer in a day Peyton received a $5,000 bonus at work, and plans to invest it today. Her investment account will earn a 5% interest rate, compounded monthly. What will her account value be in 20 years? Peyton will have $___ in the account after 20 years. solve 3 ^x/2 * 3^x/4= 3^6 f(x) = 3x + 12x - 5 Driving requires a high degree ofin the driving environment.a)b)c)distractioncarelessnessawareness Brainliest user, virtuoso, and 700+ points in three days? I think i'm pretty smart. Do you think so? Also, please solve for x, 2x-30+2 and explain. 9b+5=23 solve equation What are the 3 components for an independent clause