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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