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Kavya works out for a quadratic equation whose coefficients are all integers. What can she conclude about its roots?

Class 10Discriminant and Nature of RootsAlgebra — Quadratics
  • ATwo distinct rational roots
  • BTwo equal real roots
  • CNo real roots
  • DTwo distinct irrational roots

Step-by-Step Solution

is positive, so the roots are real and distinct. Since 49 is a perfect square (√49 = 7), the roots (−b ± 7)/ are rational.
Answer: A) Two distinct rational roots

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