SOLUTION: two integers differ by four while their squares differ by 200. What is the product of the two integers?
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Question 891518: two integers differ by four while their squares differ by 200. What is the product of the two integers?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
1.
.
.
2.
This is a difference in squares you can simplify.
Substituting from eq. 1,
3.
So then adding eq. 1 and eq. 3,
Then from eq. 1,
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