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math

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Write a quadratic equation having the given number as solutions:


c/2 and d/2

  • math -

    please help me solve

  • math -

    I will use x as my variable

    if x = c/2 then 2x-c = 0
    if x = d/2 then 2x-d = 0

    your quadratic equation would be
    (2x-c)(2x-d) = 0

    expand it to get it into general form

    OR

    sum of roots = c/2 + d/2 = (c+d)/2
    product of roots = cd/4

    equation: x^2 - (c+d)/2 x + cd/4 = 0 or
    4x^2 - (c+d)x + cd = 0

  • CORRECTION math -

    last line should read:
    4x^2 - 2(c+d)x + cd = 0

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