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the function with the sum of roots of 11 and product of roots is 11 is..?

thanks for the help!

  • math -

    Assuming the function is quadratic with an x^2 coefficient of 1,

    in the form ax^2 + bx + c = 0.

    x = [-b +/- sqrt(b^2 -4ac)]/2a

    root sum = -b/a = -b
    root product = (1/4a^2)*(-4ac) = -c

    x^2 -11x -11 = 0 is the function

    Roots are (1/2)(11 + sqrt165)
    and (1/2)(11 - sqrt165)

    There are many other functions that would meet your criteria, but all of the quadratic ones must be a multiple of the one above.

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