Let a and b be real numbers such that a^3 + 3ab^2 = 679 and 3a^2 b + b^3 = -679. Find a + b.
{a3+3ab2=6793a2b+b3=−679
Adding gives
a3+3a2b+3ab2+b3=0(a+b)3=0
So a + b = 0.