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**iamaditya****Member**- From: Planet Mars
- Registered: 2016-11-15
- Posts: 616

And yeah, one thing I don't understand in this forum is that when you are sending the message, I am not receiving it, I have to refresh the page or go back to the previous page to again receive your message. Is this a similar problem happening with you all. If yes then how can I resolve it because then we will constantly have to go back and see whether you have sent a message or not for 2 persons marked "online" chatting in this forum.

Practice makes a man perfect.

There is no substitute to hard work

All of us do not have equal talents but everybody has equal oppurtunities to build their talents.-APJ Abdul Kalam

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

I have to press "New" to see a new post or I use refresh too. This is not a chat.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**iamaditya****Member**- From: Planet Mars
- Registered: 2016-11-15
- Posts: 616

bobbym wrote:

I have to press "New" to see a new post or I use refresh too. This is not a chat.

Ok

Here are rest of the "difficult" questions from chapter surds:

*Last edited by iamaditya (2017-03-10 21:16:53)*

Practice makes a man perfect.

There is no substitute to hard work

All of us do not have equal talents but everybody has equal oppurtunities to build their talents.-APJ Abdul Kalam

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Are these 3 separate questions?

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**iamaditya****Member**- From: Planet Mars
- Registered: 2016-11-15
- Posts: 616

Yes they are 3 different questions. And please not that i had given the last question wrong. I have edited it. Please see.

And yeah you have to simplify the following.

*Last edited by iamaditya (2017-03-10 21:31:08)*

Practice makes a man perfect.

There is no substitute to hard work

All of us do not have equal talents but everybody has equal oppurtunities to build their talents.-APJ Abdul Kalam

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**iamaditya****Member**- From: Planet Mars
- Registered: 2016-11-15
- Posts: 616

Hi;

Have you seen the post? Long time no reply. Are you not able to solve these problems... If you want I may tell you the solutions... I am waiting for your reply and then will send you the difficult problems of other questions also... If you want I may send you the problems of other questions also. Please reply.

There is no substitute to hard work

All of us do not have equal talents but everybody has equal oppurtunities to build their talents.-APJ Abdul Kalam

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

Do I use this expression

for all the questions?**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**iamaditya****Member**- From: Planet Mars
- Registered: 2016-11-15
- Posts: 616

No; only in the 1st question; for the rest questions you have to simplify them, understood.

Your 1 st answer is correct but you need to simplify the fraction.

*Last edited by iamaditya (2017-03-16 01:49:47)*

There is no substitute to hard work

All of us do not have equal talents but everybody has equal oppurtunities to build their talents.-APJ Abdul Kalam

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hmmm, that is strange because we always normalize the denominator else you will get

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**iamaditya****Member**- From: Planet Mars
- Registered: 2016-11-15
- Posts: 616

Hi;

your 1st answer is now correct. Yes you told right that we always rationalize the denominator... but still 1/√5 is more simpler... we rationalize the denominator when we have a fraction whose numerator or denominator is composed of more than 1 term. Example

Your 2nd answer(answer of the 4th question) is wrong. Take x as 1 and then see it would not be matching.

*Last edited by iamaditya (2017-03-16 20:29:56)*

There is no substitute to hard work

All of us do not have equal talents but everybody has equal oppurtunities to build their talents.-APJ Abdul Kalam

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

Are we talking about this one?

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**iamaditya****Member**- From: Planet Mars
- Registered: 2016-11-15
- Posts: 616

Yes

There is no substitute to hard work

All of us do not have equal talents but everybody has equal oppurtunities to build their talents.-APJ Abdul Kalam

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Then what do you mean by a real solution of y and z. Because the

is a root and I believe the only real root.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**iamaditya****Member**- From: Planet Mars
- Registered: 2016-11-15
- Posts: 616

Where did you get x as 1.609608190...??

There is no substitute to hard work

All of us do not have equal talents but everybody has equal oppurtunities to build their talents.-APJ Abdul Kalam

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

This equation has a real root:

which is just a basic manipulation of your problem. x can be found by numerical computation to as many digits as we need. But there is no closed form for x in terms of known constants that I can discover. But there are simple forms for y and z as I have posted.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**iamaditya****Member**- From: Planet Mars
- Registered: 2016-11-15
- Posts: 616

Hmm, yours solution is right but actually I a

Had found a different solution. It is

Thus we can take y as 2 and z as 1

There is no substitute to hard work

All of us do not have equal talents but everybody has equal oppurtunities to build their talents.-APJ Abdul Kalam

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Is that the answer the book gave?

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**iamaditya****Member**- From: Planet Mars
- Registered: 2016-11-15
- Posts: 616

No, I found it out myself. Why is it wrong?

There is no substitute to hard work

All of us do not have equal talents but everybody has equal oppurtunities to build their talents.-APJ Abdul Kalam

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

I do not think it is wrong, I think I did not understand the question and solved another problem.

Your answer leads to this:

Is that what they wanted?

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**iamaditya****Member**- From: Planet Mars
- Registered: 2016-11-15
- Posts: 616

Yes, I think.

There is no substitute to hard work

All of us do not have equal talents but everybody has equal oppurtunities to build their talents.-APJ Abdul Kalam

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

What does the book think of this one?

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**iamaditya****Member**- From: Planet Mars
- Registered: 2016-11-15
- Posts: 616

Hmm, the thing is that I too forgot the soln. I once solved it very easily but I don't know why I am not being able to do that now. Ok don't worry I will post you the solution after I am able to do it once again.

Anyways, today I was doing some problems on logarithms and my gosh........!!!! **SOOOOOOOOO...DIFFICULT** problems. I finally started crying..but i still managed to score 10 out of 20.

There is no substitute to hard work

All of us do not have equal talents but everybody has equal oppurtunities to build their talents.-APJ Abdul Kalam

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

I forget solutions too after a day or two. You should get into the habit of keeping notes.

gAr has this as a signature.

The palest ink is better than the strongest memory.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**iamaditya****Member**- From: Planet Mars
- Registered: 2016-11-15
- Posts: 616

I forget solutions too after a day or two. You should get into the habit of keeping notes.

Yes, you are right.

gar has this signature.

The palest ink is better than the strongest memory.

But when I visited his profile his signature showed this:

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

There is no substitute to hard work

All of us do not have equal talents but everybody has equal oppurtunities to build their talents.-APJ Abdul Kalam

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

That was his signature before he changed to those.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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