Question

find the value of a:
$\sqrt{ \frac{p}{q} } = ( \frac{q}{p} )1 - 2a$
​

Answer 1

Step-by-step explanation:

Typesetting mathematics is a work of art. LaTeX knows a lot of the basics (more than any other), but you often have to fiddle to get best results---but then the onus is on us to know what is 'best'. Look at how to produce the mathematics shown in Src/maths.pdf

See video discussion 61

Recall how to

include mathematics inline, with the \( ... \) environment, or displayed using either the \[ ... \] or equation environments;

set sub- and super-scripts;

use the \frac command to typeset fractions; and

that many commands type mathematical symbols such as the Greek alphabet.

Thanks to MathJax for typesetting the following interleaved LaTeX fragments.

AMS-LaTeX

The American Mathematical Society has enormously extended the mathematical environments, commands, fonts and symbols in LaTeX. Get into the habit of accessing part of their extensions by putting \usepackage{amsmath} into the preamble. Investigate other extensions if you can spare the time.

Often useful are the American Mathematical Society's symbols: include with\usepackage{amssymb} in the preamble(download a list of the symbols). I strongly recommend you stay within the symbols provided by standard LaTeX and amssymb (listed in the first 32 pages of this summary by Emre Sremutlu).

For curvaceous capital letters in