Question

Solve for Y


`√(y + 8 ) = y + 6`

Answer 1

`y+8\geq0 \wedge y+6\geq0\\y\geq-8 \wedge y\geq -6\\y\geq-6\\\\√(y+8)=y+6\\y+8=(y+6)^2\\y+8=y^2+12y+36\\y^2+11y+24=0\\y^2+3y+8y+24=0\\y(y+3)+8(y+3)=0\\(y+8)(y+3)=0\\y=-8 \vee y=-3\\\\-8\\ot\geq-6\\\\\boxed{x=-3}`