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The equation (x² + 6x + 9)² - (x² - 6x + 9)² = 0 has how many distinct solutions?

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by Brent@GMATPrepNow » Sun Oct 30, 2022 6:28 am
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The equation (x² + 6x + 9)² - (x² - 6x + 9)² = 0 has how many distinct solutions?

(A) Zero
(B) One
(C) Two
(D) Three
(E) Four

Answer: B
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Re: The equation (x² + 6x + 9)² - (x² - 6x + 9)² = 0 has how many distinct solutions?

by gmatter2012 » Sun Oct 30, 2022 8:07 am
Brent@GMATPrepNow wrote: ↑
Sun Oct 30, 2022 6:28 am
 The equation (x² + 6x + 9)² - (x² - 6x + 9)² = 0 has how many distinct solutions?

(A) Zero
(B) One
(C) Two
(D) Three
(E) Four

Answer: B
Source: www.gmatprepnow.com

\({\left(x+3\right)^2}-{\left(x-3\right)^2}=0\)
\((x+3+x-3)(x+3-x-3)=0\)
\(2x=0\)
\(x=0\)

Ans B
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