Mathematics - Factoring Fractional Exponents
Me and another classmate are debating the true answer to the following equation. This is a college algebra question.
x^(3/2) + 8x^(1/2) + 16x^(-1/2) = 0
The book says no solution.
My classmate says it has a solution.
I feel the negative exponent will prevent it from being solved. Is this correct, or is there more to it?
If it can be solved, can you show me the proof.
<edit 1> sorry edited out his proof on accident. i will put it back in tomorrow. </edit 1>