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If $$m$$ and $$n$$ are the roots of the equation $$x^2 + 2mx + 5n = 0$$, $$m \neq 0$$, $$n \neq 0$$, then the sum of roots of this equation is
Correct Answer: -10
The sum of the roots gives $$m + n = -2m$$, so $$n = -3m$$, and the product gives $$mn = 5n$$, so $$m = 5$$ because $$n \neq 0$$. Then $$n = -15$$ and the sum of the roots is $$m + n = 5 - 15 = -10$$, which indeed equals $$-2m$$.
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