Question 88560
{{{sqrt(x - 1) = (x - 3)}}}
{{{x - 1 = (x - 3)^2}}}
{{{x - 1 = x^2 - 6x + 9}}}
{{{0 = x^2 - 7x + 10}}}
{{{0 = (x - 2)(x - 5)}}}
x = 2 and x = 5
Check:
a. {{{sqrt(x - 1) = (x - 3)}}}
{{{sqrt(2 - 1) = (2 - 3)}}}
{{{sqrt(1) = -1}}}
Wrong
b. {{{sqrt(x - 1) = (x - 3)}}}
{{{sqrt(5 - 1) = (5 - 3)}}}
{{{sqrt(4) = 2}}}
Correct
~ Answer: x = 5
{{{graph(300,300,-6,6,-6,6,sqrt(x - 1),(x - 3))}}}