SOLUTION: Solve the equation. sqr rt ^ 38x+647 +17= x+35 The solution set is { }

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Question 894222: Solve the equation.
sqr rt ^ 38x+647 +17= x+35
The solution set is { }
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2838x%2B647%29+%2B17=+x%2B35+
sqrt%2838x%2B647%29=x%2B18
38x%2B647=%28x%2B18%29%5E2
38x%2B647=x%5E2%2B36x%2B324
x%5E2-2x-323=0
%28x-19%29%28x%2B17%29=0
Two solutions:
x-19=0
x=19
and
x%2B17=0
x=-17
Now go back to the original equation and plug in the values and make
sure neither of the solutions are extraneous solutions (don't solve the equation).