Algebra 2 problem - Chapter 1?

Question

Assume that a, b and c are integers and a =/= 0

Question : Describe the value of a, b and c for which the solutions of ax^2 + b = c are rational

Thank u in advanced

Answer 1

Answers are rational if : b^2 - 4ac >=0

Answer 2

I think you meant:  ax^2 + bx = c, which is the quadratic equation.

The solutions are rational when the discriminant of the quadratic formula---(b^2 - 4ac)---is non-negative AND a perfect square.