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Milton spilled some ink on his homework paper. He can't read the coefficient of $x$, but he knows that the equation has two distinct negative, integer solutions. What is the sum of all of the distinct possible integers that could be under the ink stain? x^2 + ?x + 36 = 0

 Aug 16, 2023
 #2
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Factoring 36  we get

 

1 , 36      ?  =  37

2 , 18      ?  =  20

3,  12      ?  = 15

4, 9         ?  = 13

                      ___

                       95  =  sum of all  ?'s

 

{ Notice that 6, 6  will not produce two distinct  negative  roots....}

 

 

cool cool cool

 Aug 16, 2023

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