Question 91615
Solve:
{{{sqrt(x-1) = x-7}}} Square both sides.
{{{x-1 = x^2-14x+49}}} Subtract x from both sides.
{{{-1 = x^2-15x+49}}} Add 1 to both sides.
{{{x^2-15x+50 = 0}}} Factor.
{{{(x-5)(x-10) = 0}}} Apply the zero products principle.
{{{x-5 = 0}}} or {{{x-10 = 0}}}
x = 5 or x = 10