One positive number is 5 less than twice a second number, and their product is 140. find the two numbers.

x, y - two positive numbers

one positive number is 5 less than twice a second number

(1)        x = 2y - 5

their product is 140

(2)    xy = 140

substitute from (1) to (2)

(2y - 5)y = 140      use distributive property

(2y)(y) - (5)(y) = 140

2y² - 5y = 140       subtract 140 from both sides

2y² - 5y - 140 = 0

use quadratic formula

a = 2, b = -5, c = -140

b² - 4ac = (-5)² - 4(2)(-140) = 25 + 1120 = 1145

substitute the value of y₁ to (1)

ddd

step-by-step explanation:

10 down (bang1)

5 up

5down (2)

2.5 up

2.5 down (3)

1.25 up

1.25 down (4)

now add them up : )

hoped i lol