Question 937153
{{{3sqrt(z+4)=z-6}}}
{{{9(z+4)=(z-6)^2}}}
{{{9z+36=z^2-12z+36}}}
{{{z^2-21z=0}}}
{{{z(z-21)=0}}}
Two solutions:
{{{z=0}}}
and
{{{z-21=0}}}
{{{z=21}}}
Verify the solutions:
{{{3sqrt(0+4)=0-6}}}
{{{3sqrt(4)=-6}}}
{{{6=-6}}}
False, not a real solution.
{{{3sqrt(21+4)=21-6}}}
{{{3sqrt(25)=15}}}
{{{3*5=15}}}
{{{15=15}}}
True
{{{highlight(z=21)}}}