Question 163
Find the positive real number(s) $x$ such that
$$
\frac{1}{2}\left(3 x^{2}-1\right)=\left(x^{2}-50 x-10\right)\left(x^{2}+25 x+5\right).
$$
$$
\frac{1}{2}\left(3 x^{2}-1\right)=\left(x^{2}-50 x-10\right)\left(x^{2}+25 x+5\right).
$$
MathNet 2007-part-03 — 185 problems (EN–VI) Question 163
Math Olympiad Vault · MathNet 2007-part-03 — 185 problems (EN–VI)