Completing The Square

Question 1

Given (x – 7)2 = 36, select the values of x.

Revolt · Accepted Answer

x = 13; x = 1

Question 2

Next, add to each side of the equation to complete the square.

Revolt · Accepted Answer

64

Question 3

Now, write x² - 16x + 64 = -8 as (x - 8)² = -16✔ (x - 8)² = -8(x - 16)² = -16(x - 16)² = -8

Revolt · Accepted Answer

✔ (x - 8)² = -8

Question 4

Solve x2 - 16x + 60 = -12 by completing the steps.

Revolt · Accepted Answer

8; 2

Question 5

First, subtract ⇒ 60 from each side of the equation.

Revolt · Accepted Answer

72

Question 6

Consider 8x2 - 48x = -104. Write the equation so that Complete the square:

Revolt · Accepted Answer

a = 1: x2 +: -6; =: -13

Question 7

Consider 8x2 - 48x = -104. Write the equation so that Complete the square:

Revolt · Accepted Answer

(x +: -3; =: -4

Question 8

Use the square root property of equality to solve(x – 3)2 = –4.The solutions are –1 or 71 or 5✔ 3 ± 2i3 ± 4i.

Revolt · Accepted Answer

✔ 3 ± 2i

Question 9

The solution to x2 – 10x = 24 is 7 or –72 + 2i or 2 – 2i✔ 12 or –2.

Revolt · Accepted Answer

✔ 12 or –2

Question 10

Complete the square to write 16t² - 96t + 48 = 0 as (t + 9)² = -3✔ (t - 3)² = 6(t - 6)² = 12.

Revolt · Accepted Answer

✔ (t - 3)² = 6

Completing The Square Answers