
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
April 11th, 2018, 12:29 AM  #1 
Member Joined: Apr 2018 From: On Earth Posts: 34 Thanks: 0  Is there a method to solve these types of questions?
With questions such as: Find all values of n such that both expressions are integers n and n+16/n+1 2n and 7/n etc... Is there a method in which this can be solved without trial and error? Thanks 
April 11th, 2018, 03:37 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,370 Thanks: 2007 
No. Let's take the second problem as an example. Let m = 2n, so that m is required to be an integer. As 7/n = 14/m is also required to be an integer, we know that m divides 14. It follows (by trial and error) that m = ±1, ±2, ±7 or ±14. Hence n = ±1/2, ±1, ±7/2 or ±7. 

Tags 
method, questions, solve, trialanderror;, types 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Direct method to solve for x in (cos x)/x=0.25  Seventy7  Calculus  4  April 13th, 2017 04:09 PM 
Best Method to Solve these Equations  Indigo28  Algebra  4  January 13th, 2017 01:20 PM 
numerical method questions ...?  porchgirl  Differential Equations  13  September 27th, 2016 09:19 AM 
Introducing Vector Method that can solve almost all high school geometry questions  RedstoneGate  Geometry  2  July 11th, 2016 10:55 PM 
Can anyone help me solve these questions? modulo questions  vickyc95  Number Theory  4  May 24th, 2016 07:20 PM 