The roots of the quadratic equation z^2 + bz + c = 0$ are -7 + 2i and -2i + 7. What is b+c?
root 1 -7 + 2i means (x- (-7+2i)) is a factor of the quadratic: (x+7-2i)
2 (x- (7 - 2i) is a factor (x - 7+2i)
( I suspect the second root should be -7 - 2i)
(x+7-2i)(x-7+2i) will be your quadratic ....but it will not be of the form z^2 + bz + c = 0
if the second root is (-2i - 7) you will get the factor (x+7+2i)
then factor1 * factor2 would be (x+7-2i)(x+7+2i) and when multiplied out would be of the correct form to calculate b+c.....