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FontParagraphStyles5. Which equations have the same pair of solutions? Select all that apply.(x+6)(x-6)=0(x+6) (x+6)=0(x-6)(x-6) = 0(2x + 12) (2x - 12) = 0(2x - 12) (x - 12) = 0(x+12) (x- 12) = 0(x+12) (x-6) = 0

1 Answer

3 votes

1) (x + 6)(x - 6) = 0

x + 6 = 0 or x - 6 = 0

x = - 6 or x = 6

The equation does not have the same pair of solutions.

2) (x + 6)(x + 6) = 0

x + 6 = 0 or x + 6 = 0

x = - 6 twice

The equation has the same pair of solutions.

3) (x - 6)(x - 6) = 0

x - 6 = 0 or x - 6 = 0

x = 6 twice

The equation has the same pair of solutions.

4) (2x + 12)(2x - 12) = 0

2x + 12 = 0 or 2x - 12 = 0

2x = - 12 or 2x = 12

x = - 12/2 or x = 12/2

x = - 6 or x = 6

The equation does not have the same pair of solutions.

5) (2x - 12)(x - 12) = 0

2x - 12 = 0 or x - 12 = 0

2x = 12 or x = 12

x = 12/2 = 6 or x = 12

The equation does not have the same pair of solutions.

6) (x + 12)(x - 12) = 0

x + 12 = 0 or x - 12 = 0

x = - 12 or x = 12

The equation does not have the same pair of solutions.

7) (x + 12)(x - 6) = 0

x + 12 = 0 or x - 6 = 0

x = - 12 or x = 6

The equation does not have the same pair of solutions.

User Dan Simon
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