SOLUTION: The difference between two integers is three and their product is 40. What are the two numbers? Thank you!!

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Question 954964: The difference between two integers is three and their product is 40. What are the two numbers?
Thank you!!
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
x and y are integers
x-y=3
x=y+3
xy=40 Substitute for x

Subtract 40 from each side.
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=169 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 5, -8. Here's your graph:

y=5 ANSWER 1: One of the integers is 5.
x=y+3=5+3=8 ANSWER 2: The other integer is 8.
CHECK:
xy=40
(8)(5)=40
40=40
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