SOLUTION: If √(4x + 3) = 3√(x- 8), then what is the value of x?

Algebra ->  Radicals -> SOLUTION: If √(4x + 3) = 3√(x- 8), then what is the value of x?      Log On


   

Question 342867: If √(4x + 3) = 3√(x- 8), then what is the value of x?
Found 2 solutions by edjones, Fombitz:
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
√(4x + 3) = 3√(x- 8)
4x+3=9(x-8) Square each side.
4x+3=9x-72
5x=75
x=15
.
Ed

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%284x+%2B+3%29+=+3%2Asqrt%28x-+8%29
Square both sides,
4x%2B3=9%28x-8%29
4x%2B3=9x-72
Take it from there and solve for x.