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Deepak Bora
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Asked: 2020-07-26T21:58:13+05:30 In:

Write all the values of p for which the quadratic equation x² + px + 16 = 0 has equal roots. Find the roots of the equation so obtained.

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CBSE 10th Class past year question paper

Year 2019

SET 1, Code Number 30/2/1

Question number – 22

cbse 10th classncert class 10thprevious year paper
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    1 Answer

    1. Newbie
      This answer was edited.
      1. x² + px + 16 = 0

      have equal roots if

      D = p² – 4(16)(1) = 0
      p² = 64

      p = ±8

      ∴ x² ± 8x + 16 = 0

      (x ± 4)² = 0
      x ± 4 = 0
      ∴ Roots are x = –4 and x = 4

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