If $a, b, c$ are real and $b^2- 4ac $ is perfect square then the roots of the equation $ax^2+bx+c=0$, will be:

The roots of the quadratic equation ax^2 + bx + c = 0 are determined by the quadratic formula where the discriminant is D = b^2 - 4ac. If a, b, and c are real numbers and D is a perfect square greater than zero, the square root in the quadratic formula results in a rational number. Because the perfect square is positive, the equation yields two distinct real and rational roots.

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