Which equation has the same solutions as the equation given below? x^2 + 18x + 32 = 0

(x + 9)² = 49  has the same solution as equation x² + 18x + 32 = 0.

Step-by-step explanation:

Given : An equation : x^2 + 18x + 32 = 0.

To find : Which equation has the same solutions as the equation .

Solution : We have x^2 + 18x + 32 = 0.

By factoring : x^2 + 16x +2x+ 32 = 0.

Taking common  x( x+16) +2(x+16) =0.

By grouping : (x+2) (x+16) =0.

x = -2 ,  x = -16 .

(x + 9)² = 49

By square formula (a+b)²

x² + 81 + 18x =49.

On subtracting by 49 both side

x² + 81 + 18x -49 =49-49.

x² + 18x + 32 = 0.

Therefore, (x + 9)² = 49  has the same solution as equation x² + 18x + 32 = 0.

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step-by-step explanation: