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If D is a perfect square (and positive) for a quadratic with integer coefficients, its roots are:

Class 10Discriminant and Nature of RootsAlgebra — Quadratics
  • ARational and distinct
  • BIrrational and distinct
  • CEqual
  • DImaginary

Step-by-Step Solution

When and is a perfect square, is an integer, so the roots are rational and distinct.
Answer: A) Rational and distinct

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