SOLUTION: the difference of two numbers is 3 and their product is 28

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Question 1152692: the difference of two numbers is 3 and their product is 28
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the numbers be x and y
(1) +x+-+y+=+3+
(2) +x%2Ay+=+28+
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(1) +x+=+3+%2B+y+
Plug this result into (2)
(2) +%28+3+%2B+y+%29%2Ay+=+28+
(2) +y%5E2+%2B+3y+=+28+
(2) +y%5E2+%2B+3y+-+28+=+0+
(2) +%28+y+%2B+7+%29%2A%28+y+-+4+%29+=+0+ ( by looking at it )
+y+=+4+ ( I'll use the positive answer )
and
(1) +x+-+4+=+3+
(1) +x+=+7+
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The numbers are 7 and 4
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check:
(2) +x%2Ay+=+28+
(2) +7%2A4+=+28+
OK
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Note that +x+=+-4+ , +y+=+-7+
works also

Answer by ikleyn(52862) About Me  (Show Source):
You can put this solution on YOUR website!
.

In this problem, the negative solution has the same right to exist as the positive solution.