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Suppose a and b are integers. How many solutions are there to the equation ab = 2a + 5b?

 Dec 6, 2020
 #1
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Suppose a and b are integers. How many solutions are there to the equation ab = 2a + 5b?

 

Looks like four to me:

 Dec 6, 2020
 #2
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Wolfram gives the following numbers: https://www.wolframalpha.com/input/?i=+ab+%3D+2a+%2B+5b%2C+integer+solution

 

a = -5 and b = 1
a = 0 and b = 0
a = 3 and b = -3
a = 4 and b = -8
a = 6 and b = 12
a = 7 and b = 7
a = 10 and b = 4
a = 15 and b = 3

 Dec 6, 2020

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