The product of two positive integers is 120 one number is 2 less than five times the other

x, y - two positive integers

product of two positive integers is 120

(1)    xy = 120

one number is 2 less than five times the other

(2)    x = 5y -2    substitute it to (1)

(5y - 2)y = 120      use distributive property

(5y)(y) - (2)(y) = 120

5y² - 2y = 120      subtract 120 from both sides

5y² - 2y - 120 = 0

use quadratic formula

a = 5, b = -2, c = -120

b² - 4ac = (-2)^2 - 4(5)(-120) = 4 + 2400 = 2404

√2404 is irrational number, therefore

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