Completing The Square Answers

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

.

(x + )²

Use the square root property of equality to solve(x – 3)2 = –4.The solutions are –1 or 71 or 53 ± 2i3 ± 4i.

First, subtract from each side of the equation.

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

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

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Write the equation so that a = 1: x2 + x =

The solution to x2 – 10x = 24 is 7 or –72 + 2i or 2 – 2i12 or –2.

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

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Which of the following expressions are perfect-square trinomials? Check all of the boxes that apply.

x² - 5x +

A student says that if 5x2 = 20, then x must be equal to 2. Do you agree or disagree with the student? Justify your answer.

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

from each side of the equation.