You can put this solution on YOUR website! 1+square root(x+7)=square root(3x-2) =
Square both sides, (FOIL the left): =
: =
: =
: =
Square both sides again, (FOIL the right side)
4(x + 7) = 4x^2 - 20x - 20x + 100
:
4x + 28 = 4x^2 - 40x + 100
:
0 = 4x^2 - 40x - 4x + 100 - 28
a quadratic equation
4x^2 - 44x + 72 = 0
Simplify divide by 4
x^2 - 11x + 18 = 0
Factor
(x-9)(x-2) = 0
Two solutions
x = 9
x = 2
:
It's important that you test both solutions in the original equation, one may not be valid.
I'll let you do that
