Find the quadratic polynomial ,the sum of whose zeroes is 5/2 and their product is 1. Hence, find the zeroes of the polynomial.​

By Arya

Find the quadratic polynomial ,the sum of whose zeroes is 5/2 and their product is 1. Hence, find the zeroes of the polynomial.​

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Arya

2 thoughts on “Find the quadratic polynomial ,the sum of whose zeroes is 5/2 and their product is 1. Hence, find the zeroes of the polynomial.​”

  1. Answer:

    Given :-

    α+β=

    2

    5

    αβ=1

    P(x)=x

    2

    −(α+β)x+αβ

    P(x)=x

    2

    2

    5

    x+1

    =2x

    2

    −5x+2

    P(x)=0

    2x

    2

    −5x+2=0

    2x

    2

    −4x−x+2=0

    2x(x−2)−1(x−2)=0

    (2x−1)(x−2)=0

    2x−1=0 & x−2=0

    x=

    2

    1

    & x=2 are zeros of P(x)

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