Which equations are true for x = -2 and x = 2? Check all that apply.
x² - 4 = 0
x² = -4
3x² + 12 = 0
4x² = 16
2(x - 2)² = 0 

Solution:

It is given that

x = -2 and x = 2

Let us substitute it in each option

1) x² - 4 = 0

(-2)² - 4 = 0 and  (2)² - 4 = 0

Hence this equation is true.

2) x² = 4

⇒ (-2)² = -4

4 is not equal to -4

⇒ 2² = -4

4 is not equal to -4

This equation is not true.

3) 3x² + 12 = 0

⇒ 3(-2)² + 12 = 0

⇒ 3(4) + 12 =0

⇒ 12 + 12 = 0

24 is not equal to 0

⇒ 3(2)² + 12 = 0

⇒ 3(4) + 12 =0

⇒ 12 + 12 = 0

24 is not equal to 0

This equation is not true.

4) 4x² = 16

⇒ 4(-2)² = 16

⇒ 4(4) = 16

⇒ 16 = 16

⇒ 4(2)² = 16

⇒ 4(4) = 16

⇒ 16 = 16

This equation is true.

5) 2(x - 2)² = 0

⇒ 2(-2 - 2)² = 0

⇒ 2(-4)² = 0

⇒ 2(16) = 0

32 is not equal to 0

⇒ 2(2 - 2)² = 0

⇒ 2(0) = 0

⇒ 0 = 0

This equation is not true.

Therefore, 4x² = 16 and x² - 4 = 0 is true.

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Which equations are true for x = -2 and x = 2? Check all that apply. 

Summary:

The equation 4x² = 16 and x² - 4 = 0 is true for x = -2 and x = 2 in x² - 4 = 0.