# Homework Help: Solution to a problem

1. Sep 27, 2010

1. The problem statement, all variables and given/known data

Okay, so I just got home a few moments ago from the first of two midterms that I will have to take this year, (do the math on that one) and I can not seem to figure out the very first problem that was listed on the test.

It was

x + $$\sqrt{x}$$ = 90

2. Relevant equations

It says "List all solutions"

3. The attempt at a solution

I tried several things, but none that seemed to fit correctly. Just by looking at it I can see that one of the solutions is x=81, but I can't get it to spit that out algebraically.

I've isolated the radical, then squared both sides to give myself a quadratic, but when I solve that I get two answers that do not work.

I'm sure this is an easy question, and one that I should know. It will probably wake me up in the middle of the night, but it's driving me crazy for now.

2. Sep 27, 2010