# Silly Mistakes

Algebra Level 3

Jason and Thompson were solving the quadratic equation $$x^{2} + bx + c = 0$$.

Jason wrote down the wrong value of $$b,$$ and found the roots to be 6 and 1. Thompson wrote down the wrong value of $$c,$$ and found the roots to be $$-4$$ and $$-1.$$

What are the actual roots of the equation?

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