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Triginometry

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For which equasion does the sum of the roots equal 3/4 and the product of the roots equal -2?
(a)4x^2-8x+3=0
(b)4x^2+8x+3=0
(c)4x^2-3x-8=0
(d)4x^2+3x-2=0

  • Triginometry - ,

    For the general quadratic equation
    ax²+bx+c=0
    the sum of the roots is -b/a,
    and the product of the roots is c/a.

    So we look for an equation where
    -b/a = 3/4 and
    c/a = -2

    (a) and (b) are rejected because c/a>0
    for (c),
    c/a = -8/4 = -2,
    -b/a = -(-3)/4 = 3/4
    So the answer is (c)

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