Question

Square root of 15-x=-3+Square root of 2x+3

Solve for x

Answer 1

`√(15-x)=-3√(2x+3)\impliedby \textit{divide by -3} \\ \quad \\ \cfrac{√(15-x)}{-3}=√(2x+3)\impliedby \textit{squares both sides} \\ \quad \\ \left( \cfrac{√(15-x)}{-3} \right)^2=(√(2x+3))^2\implies \cfrac{(√(15-x))^2}{(-3)^2}=(√(2x+3))^2 \\ \quad \\ \cfrac{15-x}{9}=2x+3\impliedby \textit{multiply both sides by 9} \\ \quad \\ 15-x=18x+27\impliedby \textit{solve for`