The roots of the quadratic equation z^2+bz+c=0 are -7+2i and -7-2i. What is b+c?
By Vieta
The sum of the roots = -b
So - b = (-7 + 2i) + (-7 - 2i) = -14
So b = 14
Also....the product of the roots = c
So c = (-7 + 2i) ( -7 - 2i) = 49 - 4i^2 = 49 - 4(-1) = 49 + 4 = 53
b + c = 14 + 53 = 67