Question 108155
{{{sqrt(x+6)=x+4}}} 
{{{(x+6)=(x+4)^2}}} Square both sides.
{{{x+6=x^2+8x+16}}} Expand right hand side.
{{{x^2+7x+10=0}}}Group all terms on one side.
{{{(x+5)(x+2)=0}}} Factor.
x=-2,-5
Check your answers.
{{{sqrt(x+6)=x+4}}}
{{{sqrt(-2+6)=-2+4}}}
{{{sqrt(4)=2}}}
{{{2=2}}}
True statement. Good answer.
{{{sqrt(x+6)=x+4}}}
{{{sqrt(-5+6)=-5+4}}}
{{{sqrt(1)=-1}}}
{{{-1=-1}}}
True statement, since {{{(-1)^2=1}}}. Good answer.