derive an equation relating \(x\) and \(k\). Show that there are no real values of \(x\) if \(k < 5\).
Quadratics
Question
From the equations
\[\begin{align*}
3x + 2y &= 5, \\
3x^2 + 2y^2 &= k
\end{align*}\]
derive an equation relating \(x\) and \(k\). Show that there are no real values of \(x\) if \(k < 5\).