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.

Answer 1

Is something wrong here?

3x^2 + 4x + 1 = 0
x = -1 or -1/3

a = 3, b = -4

a does not divide b