SOLUTION: the sum of two integers is 9. the product of the integers is 14. what are the integers?

Question 814881: the sum of two integers is 9. the product of the integers is 14. what are the integers?

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
n + m = 9
n = 9 - m
nm = 14
---
nm = 14
(9 - m)m = 14
9m - mm = 14
mm - 9m + 14 = 0
---
the above quadratic equation is in standard form, with a=1, b=-9, and c=14
---
to solve the quadratic equation, plug this:
1 -9 14
into this: https://sooeet.com/math/quadratic-equation-solver.php
---
the roots of the quadratic are:
7
2
---
Answer:
there are two different solutions:
m = 7
n = 2
and
m = 2
n = 7
---
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