SOLUTION: Solve and check for extraneous solutions {{{ sqrt ( x+10 ) + sqrt ( 3-x )= 5 }}} Thanks!

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Question 1074683: Solve and check for extraneous solutions
+sqrt+%28+x%2B10+%29+%2B++sqrt+%28+3-x+%29=+5+
Thanks!
Found 2 solutions by 31, MathTherapy:
Answer by 31(5) About Me  (Show Source):
Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Solve and check for extraneous solutions
+sqrt+%28+x%2B10+%29+%2B++sqrt+%28+3-x+%29=+5+
Thanks!
sqrt%28x+%2B+10%29+%2B++sqrt%283+-+x%29+=+5

1) Subtract sqrt%283+-+x%29 from each side

2) Square both sides of equation, and simplify

3) Square both sides again

4) Check for EXTRANEOUS solution(s) by substituting the value(s) for x into the original equation

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