Two numbers have a product of 6800 and a difference of 5 what are the two numbers

80 and 85

Step-by-step explanation:

Let a and b be those numbers

a*b = 6800

a - b = 5

Use the substitution method.

a = 5 + b

(5 + b) * b = 6800

5b + b*b = 6800

bb + 5b - 6800 = 0

b = - 5/2 + root (25 - 4*1 * (-6800)) / 2

b = - 5/2 + 165/2

b = 80

or b = - 85

a - b = 5

a - 80 = 5

a = 85