SOLUTION: the sum of two integers is 15 and their product is 56.find the integers

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Question 157455: the sum of two integers is 15 and their product is 56.find the integers
Found 2 solutions by midwood_trail, Fombitz:
Answer by midwood_trail(310) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two integers is 15 and their product is 56. Find the integers.
Let's see, how about 7 and 8?
Look:
7 + 8 = 15
7 times 8 = 56
The integers are 7 and 8
Is this clear?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Call your integers A and B.
1.A%2BB=15
2.AB=56
From eq.1,
A=15-B
Substitute that into eq. 2,
2.AB=56
%2815-B%29B=56
15B-B%5E2=56
B%5E2-15B%2B56=0Quadratic equation in B.
%28B-7%29%28B-8%29=0Factor the quadratic.
.
.
.
Two solutions,
B=7, B=8.
Now solve for A.
.
.
.
When B=7, then from eq.1,
A=15-B
A=15-7
A=8
When B=8, then from eq.1,
A=15-8
A=15-8
A=7
Your two integers are 7 and 8.