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given: 9m^2 + 5m +26

what is the integer value for m such that the equation above can be written as the product of two adjacent positive integers?

 Nov 9, 2018
 #1
avatar+721 
+1

\(m=2\).

 

For me I just did guess and check, starting with one and making my way up.

 

You are very welcome!

:P

 Nov 9, 2018
 #2
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It has at least 2 solutions(it may have more than 2):

m =2 then the equation evaluates to 72 =8 x 9, and:

m =6 then the equation evaluates to 380 =19 x 20.

 Nov 10, 2018

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