-4x^2+64x+256=0 completing the square

Answers

Answer 1

[tex]-4x^2 +64x +256 =0\\\\\implies x^2 -16x -64 =0\\\\\implies x^2 - 2 \cdot 8 \cdot x + 8^2 -8^2 -64=0\\\\\implies (x-8)^2 -128 =0\\\\\implies (x-8)^2 = 128\\\\\implies x-8 = \pm\sqrt{128} = \pm \sqrt{64 \times 2} = \pm 8\sqrt 2\\\\\implies x = 8 \pm 8\sqrt2\\\\\text{Hence,}~ x = 8+ 8\sqrt 2~\text{or}~ x = 8 - 8\sqrt 2[/tex]


Related Questions

What is 8,473,227 rounded to the nearest hundred thousand

Answers

Answer:

8 500 000

Step-by-step explanation:

since it for the hundred thousand round off, we consider the ten thousand place value if it would have an effect on the hundred thousand place value.

In our case it did not have effect because it is below 5

i'll mark brainliest, thanks in advance!​

Answers

Answer:

SSS

Step-by-step explanation:

are 2 isosceles right triangles congruent, have both sides and angles equal, so the answers are all valid, the simplest is SSS, 2 sides are the same and marked on the drawing, the third is the same accordingly

Reduce 45/36 fraction into the
lowest terms.

Answers

Answer:

[tex] \frac{5}{4} [/tex]

Hello there! :)

45/36

Let's look for common factors:

45 is divisible by 3, 9 (I list the common factors here)

36 is divisible by 3, 9

Now, the greatest common factor (9) is the one we will use.

Divide 45 by 9:

5

36 by 9:

4

So the answer is 5/4.

Hope this helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Determine the solution to each system of equations given in the table. Enter your answer in the box provided
Solution
System of Equations
Sy= 2x – 10
y=-3x + 5

Answers

Answer:

x=3 and y=-4

(3,-4)

Step-by-step explanation:

I searched it up :/

Answer:

x = 3 and y = -4

Step-by-step explanation:

Solve y = 2x-10 for y:

y=2x-10

Substitute 2x-10 for y in y = -3x+5:

y=-3x+5

2x-10=-3x+5

2x-10+3x=-3x+5+3x (add 3x to both sides)

5x-10=5

5x-10+10=5+10 (add 10 to both sides)

5x=15

5x/5=15/5 (divide both sides by 5)

x = 3

Substitute 3 for x in y = 2x-10:

y=2x-10

y=(2)(3)-10

y=-4 (simplify both sides of the equation.

Therefore your answer is x = 3 and y = -4.

2/3x + 7 = -1/5x + 3

Answers

if there is any doubt leave a comment

Select all ratios equivalent to 4:16.
3:12
6:48
5:4

Answers

Answer

Step-by-step explanation:

neither

brainlest

3:12

4/16=.25
3/12=.25

What is a quartic function with only two real zeros at x = 7 and x = 13
A. y = (x - 10) ^ 5 - 81 OR y = x ^ 5 - 20x ^ 4 + 92x ^ 3 + 34x ^ 2 - 20x + 91

B. Y= (x - 10) ^ 4 - 81 OR y = x^4 - 20x +91

C. y = (x - 3) ^ 4 - 41 OR y = 2x ^ 4 - 21x ^ 3 + 52x ^ 2 - 17x + 609

D. y = (x+ 8)^4 + 71 OR y = x^4 - 3x^3 + 7x^2 - 5x + 13

Answers

Zeros be a and b

a=7b=13

Function

[tex]\\ \sf\longmapsto y=x^2-(a+b)x+ab[/tex]

[tex]\\ \sf\longmapsto y=x^2-(7+13)x+(7)(13)[/tex]

[tex]\\ \sf\longmapsto y=x^2-20x+91[/tex]

Option B

Add 4/9 +2/9 and simplify answer

Answers

Answer: 6/9 = 2/3

Step-by-step explanation: The answer is 2/3 or 6/9 is because you add 2 to 4 and that is 6 you keep the denominator the same because both fractions have the same denominator and you get 6/9, 6/9 is simplified to 2/3

What are the answers pls I don’t get it

Answers

Answer:

answers are (1+0.13)x and 1.13x

Step-by-step explanation:

i did this one last year and got it right :)

Problem 3: If a single six-sided die is rolled five times, what is the probability that a six is thrown exactly three times

Answers

Answer:

So the probability that a die thrown 5 times will result in a 6 exactly 3 times is 0.03215.

Step-by-step explanation:

HOPE IT HELPS I'M FILIPINO STUDENTS

Jason gets 15 gallons of gas for $3.90 a gallon which gives him 20 miles to the gallon. How many miles can Jason travel on one tank of Jason?

Answers

0.75 miles
15 divided by 20 as its in proportion

Answer:

0.75 mi.

Step-by-step explanation:

15/20=3.90/x

A corporation recently sold zero-coupon $400 bonds maturing in 4 years with an annual yield of 12%. Find the price. [Hint: The price is the present value of $400 4 years from now at the stated interest rate.] (Round your answer to the nearest cent.)

Answers

Answer:

Step-by-step explanation:

400*1.12^-4= 254.2072314

Simplify.

1/cosθ + tan^2θ/cosθ

• 1 + sinθ
• sec^3θ
• 1
• cos^3θ

Answers

Answer:

I'm guessing the answer is sec³θ

Step-by-step explanation:

I tried this problem and I got 1/cos³θ and clicked cos³θ, but that answer was incorrect. In my lesson, there were the options:

1. sec³θ

2. cos³θ

3.  secθ

I didn't have options 1 + sinθ or 1 as answers. If sec³θ is not the correct answer, please correct me.

Pre college need help

Answers

Answer:

sorry I can't answer that because I need points very3× sorry

x2 +

x + 36
Help me lol

Answers

Answer:

x²+12x+36 =0

Step-by-step explanation:

Hii, so I'm assuming your equation is equal to 0-->

x²+_x+36 =0

this could go many ways..

x²+12x+36 =0

which factor to (x+6)(x+6)

x²+15x+36 =0

which factor to (x+12)(x+3)

x²+13x+36 =0

which factor to (x+9)(x+4)

If I had to choose a answer.. I would go with the 1st option x²+12x+36 =0

Hope this helps, if there was more to this question, leave a comment and I can come back and help you ;)

Answer:

Step-by-step explanation:

2. Twenty machines can embroider 1000 sweaters in 5 days.
a. In how many days can 10 machines embroider the same 2000 sweaters?
b. How many machines would needed to embroider 5000 sweaters in 10 days?

Answers

Answer:

a) 20 days

b) 50 machines

What is 34 ÷ 14?A) 1B) 3C) 4D) 316

Answers

Answer:

2.42

Step-by-step explanation:

Answer: 2.4

Step-by-step explanation: It is 2.4 because it is 2 remainder 6

arrange the given the decimals in ascending order from least to greatest ​

Answers

To arrange in ascending order means to arrange numbers from the smallest value to the greatest value in the set of numbers provided.

9) 3.021 < 3.12 < 3.121 < 3.21

Look at the 1st decimal place after the point first. 0 is less than 2 & 1, so 3.021 is the least number. Now, for 3.12 & 3.121, look at the 3rd place. 3.12 = 3.120, so it’s smaller than 3.121. Then comes 3.21 which is the greatest number in this set.

10) 5.0090 < 5.05 < 5.059 < 5.5

Here, 5.0090 is the smallest number. Then comes 5.05 = 5.050 which is smaller than 5.059. 5.5 is the greatest number.

_________

RainbowSalt2222 ☔

Solve. 140% of 340 is what number?​

Answers

Answer:

The answer is 476

Step-by-step explanation:

hope this helps :)

find the angle pls it's just 1 question ​

Answers

Answer:

70°

Step-by-step explanation:

isoceles so base angles are 55

55+55 is 110 so 180-110 is 70

Answer:

if the triangle is isosceles

Step-by-step explanation:

traingle angles= 180°

isosceles traingle= base angles are equal

180°-55°-55°= 70°

Eric ran 1 1/4 miles. Then he biked 3 1/2 times farther than he ran.


How far did Eric bike?


Enter your answer as a mixed number in simplest form.

Answers

Answer: He biked 4 and 3/8 miles

Step-by-step explanation:

since he ran 1.25 miles and biked 3.5 times farther than that you'd multiply both numbers and get 4.375 which simplifies to 4 and 3/8

Can you help me!

Determine the solution to the following one-variable linear equation:

a. 4a - 11 = 2a + 3
b. 3z + 12 = 15
c. 2 - 6b = 20
d. 3y - 5 = 27 - y​

Answers

Hi,

4a - 11 = 2a + 3

4a - 11 + 11 = 2a + 3 + 11

4a = 2a +14

4a - 2a = 2a - 2a + 14

2a = 14

2a / 2 = 14 / 2

a = 7

3z + 12 = 15

3z + 12 - 12 = 15 - 12

3z = 3

3z / 3 = 3 / 3

z = 1

2 - 6b = 20

2 - 2 - 6b = 20 - 2

- 6b = 18

6b = - 18

6b / 6 = -18 / 6

b = -3

3y - 5 = 27 - y

3y - 5 + 5 = 27 - y + 5

3y = - y +32

3y + y = - y + y +32

4y = 32

4y / 4 = 32 / 4

y = 8

✅(◠‿◕)

♪Answer :

#A

4a - 11 = 2a + 3 4a - 2a = 3 + 112a = 14 a = 14/2 a = 7

#B

3z + 12 = 15 3z = 15 - 12 3z = 3 z = 3/3 z = 1

#C

2 - 6b = 20 -6b = 20 - 2 -6b = 18 b = 18/(-6)b = -3

#D

3y - 5 = 27 - y 3y + y = 27 + 5 4y = 32 y = 32/4 y = 8

.
Solve using traditional division: 3,385 31.
109 R6
1009
108 R 37
109

Answers

Answer:

109r6

Step-by-step explanationi got it

3 + 4x > 27
First subtract ____ from both sides.
Then ______ both side by 4
x > ______

Answers

Answer:

3

divide

6

Step-by-step explanation:

Inequalities are solved similar to how equalities are solved. Isolate the variable using the properties of equality.

So the first step is to subtract 3 from both sides. This starts to isolate the variable. Additionally, because the same thing happens to both sides, the inequality is still true.

Then, divide both sides by 4. This is the last step to isolate the variable. Doing this not only keeps the inequality true, but it also allows the x to be by itself.

This is the final answer, x>6, x is greater than 6.

3+4x>274x>24x>6

see image above ^^^^​

Answers

Triangle ABC was rotated 90 degrees counter clockwise to become triangle STU

Evaluate this function: h(t) = |t+2| + 3; Find h(6)

Answers

Answer:

Step-by-step explanation:

h(6) = |6 + 2| + 3 = |8| + 3 = 8 + 3 = 11

w
[tex]41 \div 646 = [/tex]
[tex]259 \times 55[/tex]
help me with this math pls​

Answers

This is your answer and for the multiplication I gave it to you step by step

A box of the Tic Tacs contains 44 of the 1 1/2- calorie flavored breath mints. How many calories are there in a box of Tic Tacs?

Answers

Answer:

66

forty-four times 1.5 equals 66


1) A very lucrative savings account earns 2.8% annual interest, compounded monthly. It is currently worth $10,427.39. How much was it worth a year and a half ago?

Answers

926+729299277=5289+83783

What are the equivalent ratios to 6:5

Answers

Ratio of 6 to 5

A ratio of 6 to 5 can be written as 6 to 5, 6:5, or 6/5. Furthermore, 6 and 5 can be the quantity or measurement of anything, such as students, fruit, weights, heights, speed and so on.

A ratio of 6 to 5 simply means that for every 6 of something, there are 5 of something else, with a total of 11

Below is a list of equivalent ratios of 6:5 that we created using our 6:5 ratio calculator above.

6:5

12:10

18:15

24:20

30:25

36:30

42:35

48:40

54:45

60:50

66:55

72:60

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