Viewing Thread:
"Time to do my homework"

Time for you to do my homework that is.

Simplify:
(5x² + 14x - 3) / (x² - 9)

You know you can do it, I know you can do it, so how about we cut out the 'google it noob' stuff and somebody just helps me out, please.

Thanks in advance for any help.

Yeah, I'm thick, I can't do simple maths

Well done down and Clazon. When I tried to work it out, I couldn't, but then I haven't done anything like this in almost 8 years.

Aye, godly things.

I thought simultaneous equations were great.

Ah, of course, the curséd quadratic factorisation.
Forgot it even existed.

Still, simultaneous equations rule all.

Yah? Check first page, loooooser.
:-p

Yuh, well done Niddle for getting the answer right first.

Well done.

:-P

(5x² + 14x - 3)
_________________

(x² - 9)



Step one- top line- quadratic factorisation:

(5x + 15) (5x - 1)
________

5

= (x + 3) (5x - 1)


Step two- bottom line- a difference of 2 squares:

*root* x and *root* 9

= (x - 3) (x + 3)


Step three- combining them

(x + 3) and (x + 3) cancel.

Thus:

(5x - 1)
_________

(x - 3)




EDIT:

Damn you down.

(5x² + 14x - 3) / (x² - 9)
= [(5x-1)(x+3)] / [(x-3)(x+3)]
= (5x-1) / (x-3)

The / is a divisive sign, not an equals as some people seem to have confused it with.

Screw it

Answer

(5x - 1) / (x-3)