SOLUTION: squareroot x + squareroot x-5 = 5 Solve equation & check for extraneous solutions

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Question 184673This question is from textbook
: squareroot x + squareroot x-5 = 5

Solve equation & check for extraneous solutions
This question is from textbook

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!

 

Solve equation & check for extraneous solutions

 

Isolate the more complicated radical:



Square both sides



The left side is just  because it just
has one term in the parentheses. But the right 
side has two terms, so to square it you must
write it down twice and multiply it by itself:



Use FOIL on the right:





Simplify the equation



Divide through by 10 



Square both sides:





Check:







So the solution is 

Edwin


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