Question 74839
{{{sqrt((x-1)^2)=0+-sqrt(7)}}}Take the square root of both sides
{{{x+cross(-1+1)=0+-sqrt(7)+1}}}Add 1 to both sides
So x equals
{{{x=0+-sqrt(7)+1}}}note: ignore the zero
<p>
Check:
{{{((sqrt(7)+1)-1)^2=7}}}Plug in {{{x=sqrt(7)+1}}}
{{{(sqrt(7))^2=7}}}
{{{7=7}}}works
{{{((-sqrt(7)+1)-1)^2=7}}}Plug in {{{x=-sqrt(7)+1}}}
{{{(-sqrt(7))^2=7}}}
{{{7=7}}}works