Question 135817
Solve for x:
{{{sqrt(4x-11) = x-4}}} Square both sides.
{{{4x-11 = 4x^2-8x+16}}} Subtract 4x from both sides.
{{{-11 = x^2-12x+16}}} Add 11 to both sides.
{{{x^2-12x+27 = 0}}} Factor.
{{{(x-3)(x-9) = 0}}} Apply the zero products rule.
{{{x-3 = 0}}} or {{{x-9 = 0}}}, so...
{{{x = 3}}} or {{{x = 9}}}