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Deepak Bora
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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

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  1. 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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