Question 85
Determine all pairs of real numbers $a$ and $x$ that satisfy the simultaneous equations
$$
5x^3 + ax^2 + 8 = 0
$$
and
$$
5x^3 + 8x^2 + a = 0.
$$
$$
5x^3 + ax^2 + 8 = 0
$$
and
$$
5x^3 + 8x^2 + a = 0.
$$
MathNet 2015-part-06 — 191 problems (EN–VI) Question 85
Math Olympiad Vault · MathNet 2015-part-06 — 191 problems (EN–VI)