# Thread: Can someone help with sqrt(x-3)+sqrt(x+2)=5

1. ## Can someone help with sqrt(x-3)+sqrt(x+2)=5

I know there are other ways to solve this, but if I keep to the rules of Algebra I should be able to solve it this way. Can anyone give me any insight on what I'm doing wrong???

I know the answer is X=7 but 99.99% of true exams require work to prove it.

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2. There's an error in going from your second to third step: $\displaystyle -3 + 2 = {\color{blue}-}1$ (not +1).

Also, make sure you change the sign when moving a term over to the other side of the equal sign. In your third last step, that should be a +4x^2 (not -).

3. Hi,
The actual problem is $\displaystyle (a+b)^2 = a^2 + 2ab + b^2$
you missed out the "2" in 2ab term if you include that in your second step
$\displaystyle x^2$ cancels out in your fourth step giving you x=7, when you solve the linear equation.

~Kalyan.

4. ## You guys rock!

It's these little typos and forgetful things with these kind of problems that always kill me. With your help I was able to refresh my memory.

I appreciate everyones assistance.