make x the subject
y = ($x^{2}$ +9)/($x^{2}$ -7)
You asked:
Solve the equation \[y = \frac{{x}^{2} + 9}{{x}^{2} - 7}\] for the unknown \(x\).
MathBot Answer:
$$\begin{aligned}x &= \sqrt{\frac{7 y + 9}{y - 1}}\\x &= - \sqrt{\frac{7 y + 9}{y - 1}}\end{aligned}$$ and \(x \neq \sqrt{7}, x \neq - \sqrt{7}\)