Question 91451
Solve:
{{{sqrt(x-1) = x-3}}}
Try this:
Square both sides.
{{{x-1 = (x-3)^2}}} Perform the indicated multiplication.
{{{x-1 = x^2-6x+9}}} Subtract x from both sides.
{{{-1 = x^2-7x+9}}} Add 1 to both sides.
{{{x^2-7x+10 = 0}}} Factor this quadratic equation.
{{{(x-5)(x-2) = 0}}} Apply the zero products principle.
{{{x-5 = 0}}} or {{{x-2 = 0}}}
Solutions:
x = 5 or x = 2