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If x^2 - 3x + 1 = 0

then find x^5 + 1/x^5

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,231

Hi Agnishom;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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What do I need to know in order to find out the expansion of (x +1/x)^5?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,231

All problems have a trick associated with them. Good problem solvers have lots of tricks up their sleeves.

All these problems are solved by turning something of the form

Notice how artificially the polynomial given expands into that form.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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bobbym wrote:

]

How do I get this? Do I need the binomial theorem?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,231

Exactly or Pascals triangle.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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Hmm... Thanks!

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,231

Hi Agnishom;

You are welcome. Please have patience you are improving. "All things come to he who waits - pappym.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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Pappym? Your dad?

If you don't mind, is "bobbym" your real name?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,231

Yes, pappym was my dear old Dad. A good ole boy from deep in Alabama.

[removed]

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

And what was removed?

I really like the "Pass me the chicken" quote from pappym.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,231

anonimnystefy wrote:

And what was removed?

My real age of course!

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,015

Who asked you about your age? Agnishom asked you about your name...

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,231

That he did. That was removed also.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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So, bobbym wants to be more anonymous than anonymnistefy?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,231

If I wanted to be anonymous I would not have told you the answers.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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