Question 887800
{{{ sqrt(x+3)=x-3}}}
{{{x+3=(x-3)^2}}}
{{{x+3=x^2-6x+9}}}
{{{x^2-7x+6=0}}}
{{{(x-6)(x-1)=0}}}
Two solutions:
{{{x-6=0}}}
{{{x=6}}}
Checking the solution:
{{{sqrt(6+3)=6-3}}}
{{{sqrt(9)=3}}}
{{{3=3}}}
True
.
.
.
{{{x-1=0}}}
{{{x=1}}}
Checking the solution:
{{{sqrt(1+3)=1-3}}}
{{{sqrt(4)=-2}}}
{{{2=-2}}}
False
.
.
.
Only one solution, {{{x=6}}}