Completing The Square Answers

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.

What method would you choose to solve the equation 2x2 – 7 = 9? Explain why you chose this method.

First, subtract from each side of the equation.

a = 1: x2 + x

x2 – 6x + =

(x + )²

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

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

x² + x + 49

Compare your response with the sample response presented here. Did your explanation

Given (x – 1)2 = 50, select the values of x.

Which points did you include in your response? Check all of the boxes that apply.

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

= ⇒ -13

–13 +

=

The solution to 2x2 – 11 = 87 is 7 or –72 + 2i or 2 – 2i12 or –2.

Solve (t - 3)² = 6. The arrow is at a height of 48 ft after approximately ⇒ 0.55s and after ⇒ 5.45s.

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

The solution to 3x2 – 12x + 24 = 0 is 7 or –72 + 2i or 2 – 2i12 or –2.

Question text not available

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

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