Question 134442
I'm looking for the name of a theorem, and the completion of the theorem. I've been searching the internet and my algebra books, but can't locate the theorem. The question marks is what I need to fill in. If you know the theorem, I can look it up to complete the statement. 

The ? Theorem states if p and q are real numbers and if p^2 = q^2, then ? 


The ? Theorem states if p and q are real numbers and if p * q = 0, then ? 

Thanks!

<font size = 4><pre><b>
I can answer only three of the four:

The <font color = "red">?????</font> Theorem states if p and q are real numbers and if p^2 = q^2, then 
<font color = "red">|p| = |q|</font> 


The <font color = "red">zero-factor</font> Theorem states if p and q are real numbers and if p * q = 0,
then <font color = "red">either p=0 or q=0 or both.</font>

Sorry, but I do not know of any name for the first. My guess would be
the "absolute value theorem", but that's only a guess. 

Edwin</pre>