Question

Write a quadratic equation in the form x^2+bx+c=0 that has the following roots: {-7,6}

Answer 1

f(x) = x^2 -12x + 85

reverse engineer this, like Prof. Sheldon Cooper figuring out Howard's card trick

x=6+or - 7i

x-6 = + or - 7i

square both sides

(x-6)^2 = -49

x^2 -12x + 36 = -49

x^2 -12 + 85