Question 155426
Solve for x:
{{{x-13*sqrt(x)+40 = 0}}} Add {{{13sqrt(x)}}} to both sides.
{{{x + 40 =  13sqrt(x)}}} Square both sides..
{{{x^2+80x+1600 = 169x}}} Subtract 169x from both sides.
{{{x^2-89x+1600 = 0}}} Solve the quadratic equation by factoring.
{{{(x-25)(x-64) = 0}}} Apply the zero product property: If a*b = 0, then either a = 0 or b = 0 or both.
{{{x-25 = 0}}} or {{{x-64 = 0}}} so...
{{{x = 25}}} or {{{x = 64}}}