Question 205526
Solve for x:
{{{x-10sqrt(x)+9 = 0}}} Rewrite this to look like a quadratic equation in {{{sqrt(x)}}}
{{{(sqrt(x))^2-10(sqrt(x))+9 = 0}}} Factor.
{{{(sqrt(x)-1)(sqrt(x)-9) = 0}}} Apply the zero product rule:
{{{sqrt(x)-1 = 0}}} or {{{sqrt(x)-9 = 0}}} so that...
{{{sqrt(x) = 1}}} or {{{sqrt(x) = 9}}} Square both sides of these two solutions.
{{{highlight(x = 1)}}} or {{{highlight(x = 81)}}}