SOLUTION: The product of two numbers is 442. The sum of the two numbers is 43. Find the two numbers.

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Question 369665: The product of two numbers is 442. The sum of the two numbers is 43. Find the two numbers.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.A%2AB=442
2.A%2BB=43
From eq. 2,
A=43-B
Substitute into eq. 1,
%2843-B%29B=442
-B%5E2%2B43B=442
B%5E2-43B%2B442=0
Factor,
%28B-26%29%28B-17%29=0
Two solutions:
B-26=0
B=26.
.
.
.
B-17=0
B=17
Then,
A=43-B=26
B=17
.
.
A=43-B=17
B=26
The two numbers are 17 and 26.