SOLUTION: c The product of the numbers is 2 less than the lesser number. Find the lesser number. I got x+x+4=2x+4-2...this did not calculate out to get the same answer that the back of m

Algebra ->  College  -> Linear Algebra -> SOLUTION: c The product of the numbers is 2 less than the lesser number. Find the lesser number. I got x+x+4=2x+4-2...this did not calculate out to get the same answer that the back of m      Log On


   



Question 761189: c The product of the numbers is 2 less than the lesser number. Find the lesser number.
I got x+x+4=2x+4-2...this did not calculate out to get the same answer that the back of my book has of -2 or -1. Please help! Thanks!

Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
One number is 4 greater than another.
x and x + 4
The product
x(x + 4)
is 2 less than the lesser number.
x - 2
x(x + 4) = x - 2
x^2 + 4x = x - 2
Collect like terms
x^2 + 4x - x + 2 = 0
x^2 + 3x + 2 = 0
(x + 2)(x + 1) = 0
So, x = -1 or -2
Hope this helps.
:-)