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Find the zeros of the polynomial …

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Find the zeros of the polynomial 5 x square minus root 5 x minus 3 and verify the relationship between the zeros and the coefficients

    • Posted by Pratham Chawla 6 years, 5 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Yogita Ingle 6 years, 5 months ago

    5x² - 2√5 x - 3 = 0

    Using the quadratic formula

    a = 5
    b= -2√5
    c = -3

    x = [-(-2√5) +/-√(-2√5)² - 4(5)(-3)]/ 2(5)

    x = [2√5 +/- √80] / 10

    x = [2√5 +/- 4√5] / 10


    x = (2√5 + 4√5)/10 = 3/5 (√5)

    or

    x = [2√5 - 4/5] / 10 = 1/5 (√5)

    Both the zeros are related to the coefficient of x²

     

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