x²-11x+a: x = (11±√(121-4a))/2 x²-14x+2a: x = (14±√(196-8a))/2 we need some of those expressions to be equal. Some playing around shows that if a = 24: 11+√(121-4a) = 14+√(196-8a) x^2-11x+24 = (x-3)(x-8) x^2-14x+48 = (x-6)(x-8)
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