C3 Algebraic Fractions

Can anyone help me out with these questions? They are from the edexcel c3 textbook exercise 1e (questions 1d and 4)

(x + 1/x - 2)/x-1

f(x) = x + 3/(x-1) -12/(x² + 2x - 3)

show that f(x) = (x² + 3x + 3)/x+3

Thanks

Reply 1

HTale

14

KatieKangaroo

Can anyone help me out with these questions? They are from the edexcel c3 textbook exercise 1e (questions 1d and 4)

(x + 1/x - 2)/x-1

f(x) = x + 3/(x-1) -12/(x² + 2x - 3)

show that f(x) = (x² + 3x + 3)/x+3

Thanks

Hang on, Im just going to stick to the PDF :smile:

Reply 2

HTale

14

Here it is...writing it on TSR is quite fiddely

SOLUTION to qu.pdf11.8KB

Reply 3

Fermat

8

HTale

Here it is...writing it on TSR is quite fiddely

The TSR tex font is quite poor.
you can be just as fast with a pdf file and the font is much better.

Reply 4

Dimez

2

Hey I want to write like that. Which software is it?

Reply 5

Pixelated

13

Fermat

The TSR tex font is quite poor.
you can be just as fast with a pdf file and the font is much better.

How do you create a pdf?

Reply 6

Gaz031

15

You can use TeX to efficiently write math such as

Unparseable latex formula:

e^{x}=\bigsum_{r=0}^{\infty} \frac{x^{r}}{r!}

and

Unparseable latex formula:

\left( \begin{array}[br]1 & 0 & 0 \\[br]0 & 1 & 0 \\[br]0 & 0 & 1[br]\end{array} \right)

on your computer.

To use it on the forum you simply write the TeX content between [ tex] and [ /tex] tags (delete the space) - to see what someone actually typed to generate the input simply try to reply to their message - it's fairly logical though slightly daunting at first.

You will want to use the proper software for free on your computer which has many many more features for producing proper documents (output as pdf files) and the font is considerably better than that generated on the forum - follow the instructions to install software here:
http://www.artofproblemsolving.com/LaTeX/AoPS_L_About.php

A quick reference to just a few of the symbols available:
http://www.math.rutgers.edu/~sontag/latexsymbols.pdf

For more in depth tutorials try:
http://www.ctan.org/tex-archive/info/gentle/
http://www.maths.tcd.ie/%7Edwilkins/LaTeXPrimer/

Reply 7

HTale

14

Gaz031

You can use TeX to efficiently write math such as

Unparseable latex formula:

e^{x}=\bigsum_{r=0}^{\infty} \frac{x^{r}}{r!}

and

Unparseable latex formula:

\left( \begin{array}[br]1 & 0 & 0 \\[br]0 & 1 & 0 \\[br]0 & 0 & 1[br]\end{array} \right)

on your computer.

To use it on the forum you simply write the TeX content between [ tex] and [ /tex] tags (delete the space) - to see what someone actually typed to generate the input simply try to reply to their message - it's fairly logical though slightly daunting at first.

You will want to use the proper software for free on your computer which has many many more features for producing proper documents (output as pdf files) and the font is considerably better than that generated on the forum - follow the instructions to install software here:
http://www.artofproblemsolving.com/LaTeX/AoPS_L_About.php

A quick reference to just a few of the symbols available:
http://www.math.rutgers.edu/~sontag/latexsymbols.pdf

For more in depth tutorials try:
http://www.ctan.org/tex-archive/info/gentle/
http://www.maths.tcd.ie/%7Edwilkins/LaTeXPrimer/

May I just say that one of the links to download the TeX Centre didnt work for me. I had to look for it elsewhere

C3 Algebraic Fractions

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