Question 931798
Square both sides,
{{{x+3=(3-x)^2}}}
{{{x+3=9-6x+x^2}}}
{{{x^2-7x+6=0}}}
{{{(x-1)(x-6)=0}}}
Two solutions:
{{{x-1=0}}}
{{{x=1}}}
Verifying,
{{{sqrt(1+3)=3-1}}}
{{{sqrt(4)=2}}}
{{{2=2}}}
Good solution.
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{{{x-6=0}}}
{{{x=6}}}
Verifying,
{{{sqrt(6+3)=3-6}}}
{{{sqrt(9)=-3}}}
{{{3=-3}}}
Not a solution.