# Can we solve the simultaneous equations $x + y + \sqrt{xy} = 39$ and $x^2 + y^2 + xy = 741$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource
By substituting $x + y = S$ and $xy = P^2$, or otherwise, solve the simultaneous equations \begin{align*} x + y + \sqrt{\vphantom{1}xy} &= 39, \\ x^2 + y^2 + xy &= 741. \end{align*}
The expression $\sqrt{\vphantom{1}xy}$ denotes the positive square root of $xy$.