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 doublethe other, thevalue of P is in progress 0 Math Lyla 5 months 2021-12-29T18:35:03+00:00 2021-12-29T18:35:03+00:00 1 Answer 0 views 0

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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