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

x^{2} - 4 = 0

x^{2} = -4

3x^{2} + 12 = 0

4x^{2} = 16

2(x - 2)^{2} = 0

**Solution:**

It is given that

x = -2 and x = 2

Let us substitute it in each option

1) x^{2} - 4 = 0

(-2)^{2} - 4 = 0 and (2)^{2} - 4 = 0

Hence this equation is true.

2) x^{2} = 4

⇒ (-2)^{2} = -4

4 is not equal to -4

⇒ 2^{2} = -4

4 is not equal to -4

This equation is not true.

3) 3x^{2} + 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) 4x^{2} = 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, 4x^{2} = 16 and x^{2} - 4 = 0 is true.

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

**Summary:**

The equation 4x^{2} = 16 and x^{2} - 4 = 0 is true for x = -2 and x = 2 in x^{2} - 4 = 0.

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