SOLUTION: Please help me solve this equation: {{{ sqrt( 5x+60 )-8= 3x-22 }}}.

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Question 899705: Please help me solve this equation: +sqrt%28+5x%2B60+%29-8=+3x-22+.
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%285x%2B60%29=3x-22%2B8
sqrt%285x%2B60%29=3x-14
%28sqrt%285x%2B60%29%29%5E2=%283x-14%29%5E2
5x%2B60=9x%5E2-84x%2B196
9x%5E2-84x-5x%2B196-60=0
9x%5E2-89x%2B136=0

Discriminant, %28-89%29%5E2-4%2A9%2A136=3025=55%5E2 , (a calculator was used for assistance)
The quadratic equation should actually be factorable. (But it will not be with whole nor integers).
Even so, this continues with general solution to a quadratic equation.
x=%2889%2B-+sqrt%2855%5E2%29%29%2F%282%2A9%29
x=%2889%2B-+55%29%2F%282%2A9%29
highlight%28x=1%268%2F9%29 OR highlight%28x=8%29