Need help with this equation transformation

Hey man :)

I have starred on this equation extremely long time, and i just cant get it why this is true (or how it is done) :

http://upload.wikimedia.org/math/7/3...2beeef8ded.png

http://upload.wikimedia.org/math/0/4...7b7e174622.png

I really hope someone could help me and show a complete step by step on how its done.

Thanks alot :-)

Re: Need help with this equation transformation

Hi Assassinbeast! :)

A fraction remains the same if you multiply numerator and denominator both by the same number.

And when you want to add fraction, you first have to make the denominators the same, and then you can add the numerators.

In your case:

$\displaystyle \frac{b^2}{4a} - \frac{b^2}{2a} + c$

$\displaystyle = \frac{b^2}{4a} - \frac{b^2 \cdot 2}{2a \cdot 2} + c \cdot \frac {4a}{4a}$

$\displaystyle = \frac{b^2}{4a} - \frac{2 b^2}{4a} + \frac {4ac}{4a}$

$\displaystyle = \frac{b^2 - 2 b^2 + 4ac}{4a}$

Re: Need help with this equation transformation

wwoowowowowow!!!! thaaanks you sooooo much man!!!!