Which of the following is the nature of the roots of the quadratic equation if the value of its discriminant is positive and a perfect square?A. The roots are not real.B. The roots are rational and equal.C. The roots are irrational and not equal.D. The roots are rational and not equal.

D) if the value of its discriminant is positive and a perfect square the   The roots are rational and not equal.

b2 – 4ac > 0  Real and the value of roots are unequal

b2 – 4ac = 0  Real and value of roots are  equal

b2 – 4ac < 0 Distinct and Imaginary roots

b2 – 4ac > 0 (is a perfect square)  Real, rational and value of roots are Distinct

These are the four conditon for the nature of root and the condition which is driving force for the loop .

so form the above statement conditon 4 satisfies and hence the quadratic equation have real rational and distinct or not equal root.

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