SOLUTION: Solve for x: 2x+7[sqrt(x)]-15=0

Algebra ->  Radicals -> SOLUTION: Solve for x: 2x+7[sqrt(x)]-15=0      Log On


   



Question 1017937: Solve for x: 2x+7[sqrt(x)]-15=0
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
Let sqrt(x) = a.

2a^2 + 7a - 15 = 0
(2a-3)(a+5) = 0

a = 3/2 and a = -5.

One solution is extraneous: (a cannot be negative)

a = 3/2, so x = 9/4