The expression \(\sqrt{\vphantom{1}xy}\) denotes the positive square root of \(xy\).
Quadratics
Review question
Can we solve the simultaneous equations $x + y + \sqrt{xy} = 39$ and $x^2 + y^2 + xy = 741$?
Ref: R5682
Question
By substituting \(x + y = S\) and \(xy = P^2\), or otherwise, solve the simultaneous equations
\[\begin{align*}
x + y + \sqrt{\vphantom{1}xy} &= 39, \\
x^2 + y^2 + xy &= 741.
\end{align*}\]
