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

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

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