Find the solution of the equation x - 8√x x + 15 = 0

Find the solution of the equation x - 8$\sqrt{x}$ + 15 = 0

Answer Details

x - 8$\sqrt{x}$ + 15 = 0
x + 15 = 8$\sqrt{x}$
square both sides = (x + 15)2 = (8 $\sqrt{x}$2
x2 + 225 + 30x = 64x
x2 + 225 + 30x - 64x = 0
x2 - 34x + 225 = 0
(x - 9)(x - 25) = 0
x = 9 or 25