Product of real roots of the equation t^2x^2+|x|+9=0

Question

Product of real roots of the equation $t^2x^2+|x|+9=0$

Accepted Answer

Setting $|x|=y\ge0$: $t^2y^2+y+9=0$. Product of the real roots (in $x$) $=\dfrac ca=\dfrac9{t^2}>0$ for all $t
e0$, always positive.

Solutions · 1