SOLUTION: Find all solutions of sqrt(x+10)-(6/sqrt(x+10)=5

Question 702144: Find all solutions of
sqrt(x+10)-(6/sqrt(x+10)=5
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
is asking for a change of variable with
The equation transforms into

Multiplying both sides of the equation time ,
we do not lose any solution.
Any solution we gain can be eliminated later.
Multiplying both sides of the equation time we get
-->
Factoring, we get
The solutions to that equation are and .
They are both solutions of ,
but is by definition a positive number,
so we eliminate as a solution.
We continue with --> -->
--> -->
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