Prove that if a and b are integers with a not equal to zero and x is a real number such that ax^2-bx-b-a=0, then a | b. Note a | b means that a divides b.
Is something wrong here?
3x^2 + 4x + 1 = 0
x = -1 or -1/3
a = 3, b = -4
a does not divide b