Basically I completly forgotten how to do these stuff, first 3 is to do them and make them as simple as possible, the other two is just to solve the equations.

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- Aug 23rd 2007, 08:55 AMgreensnakeCollege/Highschool algebra
Basically I completly forgotten how to do these stuff, first 3 is to do them and make them as simple as possible, the other two is just to solve the equations.

- Aug 23rd 2007, 09:49 AMred_dog
1) $\displaystyle \displaystyle \frac{x}{6}+\frac{2x}{9}-\frac{x}{3}$

The common denominator is 18. So, amplify the first fraction by 3, the second by 2 and the third by 6.

2), 3)For the next two problems use the properties:

$\displaystyle (a\cdot b)^n=a^nb^n$

$\displaystyle \displaystyle\left(\frac{a}{b}\right)^n\frac{a^n}{ b^n}$

$\displaystyle a^m\cdot a^n=a^{m+n}$

$\displaystyle \displaystyle\frac{a^m}{a^n}=a^{m-n}$

$\displaystyle (a^m)^n=a^{mn}$

$\displaystyle \displaystyle\sqrt[n]{a^m}=a^{\frac{m}{n}}$

4) $\displaystyle ax^2+bx+c=0$

$\displaystyle \displaystyle x_{1,2}=\frac{-b\pm\sqrt{\triangle}}{2a}$, where $\displaystyle \triangle =b^2-4ac$

5) Factorize and then make a table with the sign of each factor, and then use the rule of signs.