MathNet 2026 — Part 07 Question 89
Math Olympiad Vault · MathNet 2026 — Part 07
Which of the following quadratic expressions in $x$ have roots $\frac{g}{h}$ and $-\frac{h}{g}$?
$g^{2} h^{2} x^{2}-\frac{g^{2}}{h^{2}}$
$h g x^{2}+\left(g^{2}-h^{2}\right) x-h g$
$h g x^{2}+\left(h^{2}-g^{2}\right) x+h g$
$h g x^{2}+\left(h^{2}-g^{2}\right) x-h g$