Question 669906
<font face="Times New Roman" size="+2">


The cosine of anything varies between 1 and -1, so 2 times the cosine of anything varies between 2 and -2, so the smallest value that 2cos4x can assume is -2.  -2 plus -5 is 


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
<div style="text-align:center"><a href="http://outcampaign.org/" target="_blank"><img src="http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png" border="0" alt="The Out Campaign: Scarlet Letter of Atheism" width="143" height="122" /></a></div>
</font>