SOLUTION: the square root of (b+3)= the square root of (2b-8)

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Question 57288: the square root of (b+3)= the square root of (2b-8)
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28b%2B3%29=sqrt%282b-8%29 Square both sides.
%28sqrt%28b%2B3%29%29%5E2=%28sqrt%282b-8%29%29%5E2
b%2B3=2b-8
-b%2Bb%2B3=-b%2B2b-8
3=b-8
8%2B3=b-8%2B8
11=b
:
Check by substituting b=11 into the original equation, because even if you did everything right, you could get an extraneous solution.
sqrt%2811%2B3%29=sqrt%282%2811%29-8%29
sqrt%2814%29=sqrt%2822-8%29
sqrt%2814%29=sqrt%2814%29 The solution is fine.
Happy Calculating!!!