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Call 911 (Posted on 2018-08-03)

x^2 + 3xy + 2*911x + 2*911y +911^2 = 0.

Solve the bolded equation for an integer couple (x,y)

See The Solution Submitted by Ady TZIDON

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computer exploration (spoilers)

| Comment 1 of 2

  x     y
-607  -92416
-911   0
276033  -92416

from

For x0 = 0 To 1000000

For x = -x0 To x0 Step 2 * x0

y = -(x * x + 1822 * x + 829921) / (3 * x + 1822)

yr = Int(y + 0.5)

If Abs(y - yr) < 0.000001 Then

Text1.Text = Text1.Text & x & " " & Str(y) & crlf

End If

If x0 = 0 Then Exit For

DoEvents

Posted by Charlie on 2018-08-03 12:01:41

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