+0  
 
0
46
3
avatar

 

What is the sum of all integer values of \(x\) such that \(\frac{67}{2x - 23}\) is an integer?

Guest Oct 14, 2018
 #1
avatar+91112 
+1

67  is a prime...the only integers that divide it  are 1 and -1

 

So

 

2x - 23  = 1     and       2x   - 23  = -1

2x  = 24                       2x  = 22

x  =12                           x  = 11

 

So...the "x"  sum is   12 +  11    = 23

 

 

cool cool cool

CPhill  Oct 14, 2018
 #2
avatar
+1

How about 67 and - 67, in which case you would have:

x=45. 2*45 - 23 =67, and:

x=-22. -2*22 - 23=-67

11 + 12  - 22 + 45 =46

Guest Oct 14, 2018
 #3
avatar+91112 
0

Thanks, guest for the correction  ...!!!!

 

 

cool cool cool

CPhill  Oct 14, 2018

10 Online Users

avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.