The quadratic function g(x) = ax^2 + bx + c has the complex roots (-5+9i) and (-5-9i). (you may assume that a = -1) what is the value of b and c?

Step-by-step explanation:

Quadratic function

with the roots:

As we know the sum of the roots is -b/a and the product of the roots is c/a. Substituting values and solving for b and c:

And

g(x) = -x² -10x - 106

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9