Question 68
Determine all quadruples $(a, b, c, d)$ of positive integers such that
$$a^3 = b^2, \quad c^5 = d^4 \quad \text{and} \quad a - c = 9.$$
$$a^3 = b^2, \quad c^5 = d^4 \quad \text{and} \quad a - c = 9.$$
MathNet 2015-part-02 — 191 problems (EN–VI) Question 68
Math Olympiad Vault · MathNet 2015-part-02 — 191 problems (EN–VI)