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Which equation has the same solutions as the equation given below?

x^2 + 18x + 32 = 0

2 Answers

3 votes

Answer:

(x + 9)² = 49

Explanation:

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User Kshitij Mittal
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Answer:(x + 9)² = 49 has the same solution as equation x² + 18x + 32 = 0.

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.

User Tamouse
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