Question 349602
{{{sqrt ( x - 2 ) + 3 = sqrt ( 4x + 1 )}}}
Square both sides.
 {{{(x-2)+6sqrt(x-2)+9=4x+1}}}
{{{6sqrt(x-2)=3x-6}}}
Square both sides again,
{{{36(x-2)=9x^2-36x+36}}}
{{{36x-72=9x^2-36x+36}}}
{{{9x^2-72x+108=0}}}
{{{x^2-8x+12=0}}}
{{{(x-2)(x-6)=0}}}
Two solutions:
{{{x-2=0}}}
{{{highlight(x=2)}}}
.
.
.
{{{x-6=0}}}
{{{highlight(x=6)}}}