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The equation x^2 - kx - 12 = 0 has only integer solutions for certain positive integers k. What is the sum of all such values of k?

 Nov 13, 2019
 #1
avatar+109740 
+1

x^2  - kx  - 12

 

The sum of the possibile solutions  =  k

 

So.....the possibilities  are

 

 Solutions                             k

-1     12                                11

1     -12                               -11

-4      3                                -1

4      -3                                 1

6      -2                                 4

-6      2                                -4

 

So.....the sum  of the k's   =   0

 

 

cool cool cool

 Nov 13, 2019
 #2
avatar+11731 
+1

The equation x^2 - kx - 12 = 0 has only integer solutions for certain positive integers k. What is the sum of all such values of k?

 

1+4+11=15

 

laugh

 Nov 13, 2019
edited by Omi67  Nov 13, 2019
 #3
avatar+109740 
0

Thanks, Omi....I missed the "positive integer" part    !!!

 

 

cool cool cool

CPhill  Nov 13, 2019

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