SOLUTION: The sum of two integers is 10. Their product is 24. Find the numbers.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: The sum of two integers is 10. Their product is 24. Find the numbers.      Log On


   



Question 856728: The sum of two integers is 10. Their product is 24. Find the numbers.
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
x + y = 10
xy = 24

x = 10 - y

(10 - y)(y) = 24
-y^2 + 10y - 24 = 0
y^2 - 10y + 24 = 0
(y - 4)(y - 6) = 0

(x, y) = (4, 6) or (6, 4)