Showing posts with label the only way can be zero. Show all posts
Showing posts with label the only way can be zero. Show all posts

Monday, August 17, 2015

Evaluate a+2b.

Suppose that there exist two positive real numbers $a$ and $b$ such that $(a-2) (a^2+2a-18)+ab(2a+b+18)-96+2(b-2)(b+3)(b+2)=0$.

Evaluate $a+2b$.

My solution: