posted by cynthia on .
the function with the sum of roots of 11 and product of roots is 11 is..?
thanks for the help!
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.