if one of The Roots 2x^-5 + P=0 is double the other, the value of P is ​

Question

if one
of The Roots 2x^-5 + P=0 is double
the other, the
value of P is

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Lyla 5 months 2021-12-29T18:35:03+00:00 1 Answer 0 views 0

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    2021-12-29T18:36:46+00:00

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    answered Feb 7, 2019 by muskan15 (-3,443 points)

    The given quadratic equation is 2×2 – px + 4 = 0

    One root = 2

    Let the other root be α

    Then sum of the roots 2 + α = – (- p)/2 = p/2

    α = p/2 – 2 ….(i)

    The product of the roots

    α × 2 = 4/2 = 2

    ⇒ α = 1

    Now 2 + α = p/2

    ⇒ 2 + 1 = p/2

    ⇒ p = 6

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