If alpha

If alpha& beta are the zeroes of the polynomial 2x2-7x+3. Find the sum of the reciprocal of its zeroes

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asked by pooja
  1. You are probably dealing with the properties of the sum and product of roots of quadratic equations.
    I will use a and b instead of alpha and beta

    for 2x^2 - 7x + 3 = 0
    the sum of the roots
    = a+b
    = 7/2
    product = ab
    = 3/2

    so the reciprocals of the roots are 1/a and 1/b
    new sum = 1/a + 1/b = (a+b)/(ab)
    = (7/2) / (3/2) = 7/3
    new product = (1/a)(1/b) = 1/(ab)
    = 2/3

    new equation:
    x^2 - 7/3x + 2/3 = 0
    or
    3x^2 - 7x + 2 = 0

    looking back, looks like I could have stopped after finding the new sum

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    posted by Reiny
  2. Ghanta

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  3. this answer is correct.

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    posted by akansha

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