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**niharika_kumar****Member**- From: Numeraland
- Registered: 2013-02-12
- Posts: 1,048

If x +1/x=m , x² +1/x³ =n,

Then what will be the value of x³ +1/x² .

I tried and got the value nx, but am not able to convert x in terms of m and n.

Pls help.

friendship is tan 90°.

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,869

hi niharika_kumar

This looks like you need to use

and

Can you finish it from there?

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**Bezoux****Member**- Registered: 2013-11-17
- Posts: 7

Here's my, in my opinion, a fairly elegant solution .

There might be a silly arithmetic mistake in there, but I think that was the idea.

*Last edited by Bezoux (2013-11-21 00:32:30)*

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**niharika_kumar****Member**- From: Numeraland
- Registered: 2013-02-12
- Posts: 1,048

its not that simple.

i tried but failed that way.

then i multiplied the 2 equations,substituted some of the values and got the result as nx.

now i just need to convert nx in terms of m and n only but am always ending up my result in the variable x.

pls. help.

friendship is tan 90°.

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,869

hi niharika_kumar

Bezoux and I have shown you a method that works. I agree with Bezoux's answer.

We don't know how to deal with nx because we don't have that.

If you want to stick with your method, you will have to post it here. Then we can check it and either tell you where the mistake is, or show you what else is needed.

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**niharika_kumar****Member**- From: Numeraland
- Registered: 2013-02-12
- Posts: 1,048

yes i got it.

The answer printed after the ques. was wrong. Bezoux's answer is completely correct.

thanks for your help bezoux and bob.

friendship is tan 90°.

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