<PRE><B>Question 732934</B>
&lt;font face=&quot;Times New Roman&quot; size=&quot;+2&quot;&gt;


I already told you.  There is no solution to this problem.  There is no real number that you can substitute for *[tex \LARGE k] to make this a true statement.


By definition, the absolute value must be greater than or equal to zero.  But in order for -5 to be multiplied by something and achieve a positive result, that something must also be less than zero.  But *[tex \LARGE |3\ +\ 4k|] cannot simultaneously be greater than or equal to zero (by definition of absolute value) and less than zero (the product of two negatives is positive).


The solution set is the empty set.


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
&lt;font face=&quot;Math1&quot; size=&quot;+2&quot;&gt;Egw to Beta kai to Sigma&lt;/font&gt;
My calculator said it, I believe it, that settles it
&lt;div style=&quot;text-align:center&quot;&gt;&lt;a href=&quot;http://outcampaign.org/&quot; target=&quot;_blank&quot;&gt;&lt;img src=&quot;http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png&quot; border=&quot;0&quot; alt=&quot;The Out Campaign: Scarlet Letter of Atheism&quot; width=&quot;143&quot; height=&quot;122&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;/font&gt;</PRE>