Neil and Chris were trying to solve the quadratic equation x^2 + bx + c = 0. Neil wrote down the wrong value of b (but his value of c was correct), and found the roots to be 1 and 6. Chris wrote down the wrong value of c (but his value of b was correct), and found the roots to be -1 and -4. What are the actual roots of x^2 + bx + c = 0?
(all the answers i got were wrong...)