The trinomial x2+bx-c has factors of (x+m) (x-n) where m, n, and b are positive. What is the relationship between the values of m and n? Explain

(m - n) = b

mn = c

The relationship between m and n is such that their product is c and their difference is b

Step-by-step explanation:

roots are x = - m and x = n

-m = - b/2 - root (b*b + 4c) / 2

n = - b/2 + root (b*b + 4c) / 2

(x + m) (x - n) = x*x + (m - n) x - mn

(m - n) = b

mn = c