The equation (a+2)x2+(a−3)x=2a−1, a≠−2 has rational roots for

We find that: Sum of the coefficients= 0.Therefore, x = 1 is a rational root of the given equation.Let the other rational root be a. Then,Product of the roots =2a−1a+2⇒ α×1=2a−1a+2⇒α=2a−1a+2Clearly, a is rational for all rational values of a except -2.