Is the Statement 12/c^2 True or False? A Counterexample Analysis

  • Thread starter Thread starter jmich79
  • Start date Start date
jmich79
Messages
10
Reaction score
0
is this true or false and why?
If 12/c^2, then 12/c
 
Physics news on Phys.org
What work have you done so far?
 
Get out your truth table.

Are you sure that's the entire question? If it is, return to sender. As it stands the question has no answer. You can arbitrarily determine its truthiness. Even your gut feeling would be a valid argument.

Can you think of why there is no answer? What does 12/c<sup>2</sup> mean? What does 12/c mean? What is the connection between the two? What is the inference you are trying to establish?
 
Last edited:
12 divides 18^2 but 12 doesn't divide 18.
 
I've placed some numbers in for c and c^2 to see if it works. But i do not get the wordin of the question. i would believe any value of c would work except zero.
 
jmich i provided you with a counterexample if i understood the question right. therefore the statement is false.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top