# Testing LaTEX and Quartic Roots

This post is simply a test of the LaTEX plugin that I supposedly have installed on this blog.  I haven’t used it in conjunction with Windows Live Writer Beta, my preferred blog writing software.

Feel free to sing along to the tune of “Pop Goes the Weasel” as you read the quadratic formula below:

$x = \displaystyle \frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Speaking of which, I introduced my algebra students to the fact that there exist some rather lengthy formulas for solving cubic and quartic equations. In fact, the four roots of the quartic equation,

$x^4 + ax^3 + bx^2 + cx + d= 0$

can be found in four individual equations over at Planet Math. I dare you to make your algebra students memorize those for the next exam.