SOLUTION: Please help me solve this equation: {{{sqrt(5x+39)=x+3}}}

Question 448614: Please help me solve this equation:
Found 2 solutions by ankor@dixie-net.com, nerdybill:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Please help me solve this equation:
Square both sides

:
FOIL (x+3)(x+3) on the right
5x + 39 = x^2 + 6x + 9
:
Combine like terms on the right
0 = x^2 + 6x - 5x + 9 - 39
:
A quadratic equation
x^2 + x - 30 = 0
:
Factors to
(x+6)(x-5) = 0
:
Two solutions
x = -6
x = +5
:
Check both solution in the original problem

:

:

3 does not = -3, x=-6 is not a solution
:
try x=5

: x=5 is a valid solutions
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!

start by squaring both sides to get:

FOIL the right side:

factoring the right:

x = {-6, 5}

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