simplify (5+x^-1)/(25-x^-2)

Question

anonymous · Answer

a=5
b=x^-1
a^2-b^2=(a+b)(a-b)

anonymous · Answer

see if you can use the above, to get started.

angela210793 · Answer

@Fiddle r u saying tht (25-x^-2)=(5-x^-1)*(5+x^-1)?

anonymous · Answer

answer my question

anonymous · Answer

yes , do you agree ?

angela210793 · Answer

anonymous · Answer

(5+1/x)/(25-1/x^2)

anonymous · Answer

$$x \div(5x-1)$$

anonymous · Answer

angela210793 · Answer

^_^

anonymous · Answer

So wolfram treats both of the below the same way @angela:
(25-x^-2)
(5-x^-1)*(5+x^-1)

angela210793 · Answer

ignore my answers today...too hot outside :P

anonymous · Answer

go to the dark side of the moon ! much cooler over there!

angela210793 · Answer

hahah...will do so :D

anonymous · Answer

anyway - soccerchic do you need more help  ?  (I hope we didn't get you more confused)

anonymous · Answer

Nope, i think i got it thanks for everyone's help :)

anonymous · Answer

OK, if anything is still unclear - just ask here.
If you are done with this question - don't forget to click the "Good Answer"s buttons :)

anonymous · Answer

anonymous · Answer

$$\frac{\frac{1}{x}+5}{25-\frac{1}{x^2}}=\frac{1}{5 (5 x-1)}+\frac{1}{5}=\frac{1}{25 x-5}+\frac{1}{5}=\frac{x}{5 x-1}$$

anonymous · Answer

i could have sworn i answered this already

anonymous · Answer

Yes, you did, so I gave you a medal.

anonymous · Answer

$$-3\pm2\sqrt{5}$$

anonymous · Answer

satellite - they only asked to simplify, not solve for x  
:)