# Solving D S.'s system of equation

Algebra Level 5

For all pairs of nonzero real numbers $$(x,y)$$ such that $$24x^3 − 10x^2y − 3xy^2 + y^3 = 0$$ and $$x^2 + 5x = y^2$$, let $$(a,b)$$ denote the solution with the largest value of $$x$$. What is the value of $$a + b$$?

This problem is posed by D S.

×