Question 62504
{{{sqrt(x^2-3x-1)-3=0}}}
{{{sqrt(x^2-3x-1)-3+3=0+3}}}
{{{sqrt(x^2-3x-1)=3}}}
{{{(sqrt(x^2-3x-1))^2=(3)^2}}}
{{{x^2-3x-1=9}}}
{{{x^2-3x-1-9=0}}}
{{{x^2-3x-10=0}}}
{{{(x-5)(x+2)=0}}}
x-5=0 and x+2=0
x-5+5=0+5 and x+2-2=0-2
x=5 and x=-2
Check both those solutions to make sure they are not extraneous.
{{{sqrt((5)^2-3(5)-1)-3=0}}}
{{{sqrt(25-15-1)-3=0}}}
{{{sqrt(9)-3=0}}}
{{{3-3=0}}}
{{{0=0}}}  {{{highlight(x=5)}}} is a valid solution.
{{{sqrt((-2)^2-3(-2)-1)-3=0}}}
{{{sqrt(4+6-1)-3=0}}}
{{{sqrt(9)-3=0}}}
{{{3-3=0}}}
{{{0=0}}} {{{highlight(x=-2)}}} is also valid.
Happy Calculating!!!!