Asked by cynthia

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

thanks for the help!

Answers

Answered by drwls
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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