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Let a and b be real numbers such that a^3 + 3ab^2 = 679 and 3a^2 b + b^3 = -679. Find a + b.

 May 2, 2022
 #1
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{a3+3ab2=6793a2b+b3=679

 

Adding gives 

a3+3a2b+3ab2+b3=0(a+b)3=0

 

So a + b = 0.

 May 2, 2022

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