Question 538685
{{{ sqrt(x+4)=x+2 }}}


{{{ (sqrt(x+4))^2=(x+2)^2 }}}


{{{ x+4=x^2+4x+4 }}}


{{{ 0=x^2+4x+4-x-4 }}}


{{{ 0=x^2+3x }}}


{{{ x^2+3x=0 }}}


{{{ x(x+3)=0 }}}


{{{ x=0}}} or {{{x+3=0 }}}


{{{ x=0}}} or {{{x=-3 }}}


When doing the check (which I'll let you do), you'll find that only {{{x=0}}} works. 



So {{{x=0}}} is the only solution.



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