Melody

Our guest added 9 to both sides to make the LHS a perfect square.

he/she really added      (6/2)^2   which is 9 :))

CPhill's way is easier but it is good to understand lots of different ways if you can.

Thanks CPhill and thanks Guest for your great answers :))

Hi  Guest,

I do not know if you will even see this since you aske the question 24 hous ago, if you did not save the thread somewhere you have probably already lost track of it.

SO pleas join up and then you questions will be automatically put into you watchlist and you can aske for email notification if anyone answers you.

Anyway, to learn about polynomial long division it would be good for you to watch this video :))

Hi again Namodesto,

A part of the problem is that you presented the question incorrectly.  1/(sqrt(x-1)*2) the bottom needed to be in brackets. 

You did not hve brackets which meant your 2 was up the top when it should  have been down the bottom.

I have been called away.  I will be back in about a half hour.  sorry.

I got t there answer except I got -2 anstead of +2    

I will look more in a while :))  

Must run .

Ok I am back and I can see that Heureka is already preparing another answer for you.

That +2 on  the first answer on this web page that you have since inserted  :-

http://math.stackexchange.com/questions/467592/derivative-of-frac-x-cdot-left1-3x-right-sqrtx-1?rq=1

is a typo, the answer further down is -2   and it is the same as I got when I redid your expression with the 2 down the bottom instead of up the top.  :)

I'll leave it now untill we both see what Heureka is preparing for you :))

Hi Namodesto,

You cannot solve it because it is not an equation.  

You can only simplify it

\({ \sqrt{x-1}*(1-6x)-(1/ \sqrt{x-1}*2)*(x-3x^2) \over x-1}\\ =\left[\sqrt{x-1}*(1-6x)-(\frac{2}{ \sqrt{x-1}})*(x-3x^2) \right]\div (x-1)\\ =\left[\frac{(x-1)(1-6x)-2 (x-3x^2)}{\sqrt{x-1}} \right]\div (x-1)\\ =\left[\frac{(x-1)(1-6x)-2 (x-3x^2)}{\sqrt{x-1}} \right]\times \frac{1}{ (x-1)}\\ =\left[\frac{(x-1)(1-6x)-2 (x-3x^2)}{\sqrt{x-1}} \right]\times \frac{1}{ (x-1)}\\ =\frac{x-6x^2-1+6x-2 x+6x^2}{\sqrt{x-1}*(x-1)} \\ =\frac{5x-1}{(x-1)^{3/2}} \\ \)

Well learn from these fellas.  :))

Yes, I do not really understand your problem either, you can put it straight into a calculator but maybe you want to understand the scientific notation better??

\(2.8*10^{30}(1.29*10^{14}/(1.35*10^{11})\\ =2.8*10^{30}*\frac{1.29*10^{14}}{1.35*10^{11}}\\ =(2.8*1.9 / 1.35)\;\;\;*\;\;\;10^{30}*\frac{10^{14}}{10^{11}}\\ =(2.8*1.9 / 1.35)\;\;\;*\;\;\;10^{30+14-11}\\ =3.94074\;\;\;*\;\;\;10^{33}\\\)

Why are you asking us?  What is wrong with all the calculators that you have access to?

I do not think that they are all broken.  Last time I looked, the web2.0calc was working ok ://

Where did you derive this from guest.

 Is the asker just suppose to take your anonymous word as Gospel?

That is an interesting assessment Sir Phil La-TeX.

 I like that clip too   

Multiply both sides by 3