SOLUTION: The sum of two numbers is negative 8 and their product is negative 20. What is the largest number

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: The sum of two numbers is negative 8 and their product is negative 20. What is the largest number       Log On


   



Question 810055: The sum of two numbers is negative 8 and their product is negative 20. What is the largest number
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
x + y = -8
xy = -20

Substitute y = -8 - x into the second equation.

(-8-x)(x) = -20
-x^2 - 8x = -20
-x^2 - 8x + 20 = 0
x^2 + 8x - 20 = 0
(x + 10)(x - 2) = 0

x = -10 ---> y = 2

The larger number is 2.