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If a and b are the …

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If a and b are the zeroes of a quadratic polynomial such that a+b=24and a-b=8. Find the quadratic polynomial representing a and b as its zeroes. Also verify the relation between the sum of its zeroes and product.

    • Posted by Cutiepie ❤ 7 years, 6 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Susai Raj 7 years, 6 months ago

    a+b=24.....(1)
    a - b=8....(2)
    We know that
    (a+b)^2 - (a-b)^2 = 4ab
    So 24^2 - 8^2 =4ab
    ie (24+8)(24-8) =4ab
    => ab = 32×16/4
    ie. ab = 128
    So the required quadratic polynomial is
    x^2-(sum of zeroes)x+ product of zeroes
    ie. x^2 -24x +128
    Sum of zeroes = -b/a =
    -(-24 )/1 = 24
    Product of zeroes = c/a
    =128/1 = 128.

    2Thank You

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