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#4251 2015-12-21 20:42:41
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oral puzzles
Hi;
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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#4252 2015-12-21 20:53:08
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Oral puzzles
Agreed with bobbym (:
Last edited by Relentless (2015-12-21 20:53:19)
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#4253 2015-12-21 22:28:50
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,361
Re: Oral puzzles
Hi bobbym and Relentless,
The solution #2647 is correct! Good work, bobbym and Relentless!
PS: Relentless, please use the hide tag to conceal the solution.
#2648. Given
, find the values of .It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#4254 2015-12-21 23:04:01
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Oral puzzles
No worries 
Last edited by Relentless (2015-12-21 23:04:38)
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#4255 2015-12-21 23:12:18
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,361
Re: Oral puzzles
Hi Relentless,
The solution #2648 is correct! Excellent!
#2649. If 8tanA = 15, find sin A - cos A.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#4256 2015-12-21 23:21:23
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Oral puzzles
Hello,
Last edited by Relentless (2015-12-21 23:25:09)
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#4257 2015-12-22 00:42:38
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oral puzzles
Hi;
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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#4258 2015-12-22 15:36:56
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,361
Re: Oral puzzles
Hi Relentless and bobbym,
The solution #2649 is perfect! Neat work, Relentless and bobbym!
#2650. If one zero of the quadratic polynomial
is 3, find the other zero.It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#4259 2015-12-22 15:51:17
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oral puzzles
Hi;
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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#4260 2015-12-22 18:45:53
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,361
Re: Oral puzzles
Hi bobbym,
The solution #2650 is correct! Good work!
#2651. If
are the roots of the polynomial , such that , find 'k'.It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#4261 2015-12-22 19:04:32
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Oral puzzles
Hello;
Last edited by Relentless (2015-12-22 19:05:39)
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#4262 2015-12-22 19:18:53
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oral puzzles
Hi;
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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#4263 2015-12-22 19:27:07
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,361
Re: Oral puzzles
Hi Relentless,
The solution #2651 is perfect! Neat work!
#2652. If
are the zeroes of the polynomial , form a quadratic polynomial whose zeroes are .It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#4264 2015-12-22 19:29:57
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,361
Re: Oral puzzles
Hi bobbym,
The solution #2651 is correct! Excellent! Go ahead to #2652.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#4265 2015-12-22 19:34:33
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oral puzzles
Hi;
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.
Offline
#4266 2015-12-22 23:37:03
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,361
Re: Oral puzzles
Hi bobbym,
The solution #2652 is perfect! Excellent!
#2653. If the squared difference of the zeroes of the quadratic polynomial
is equal to 144, find the value of 'p'.It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#4267 2015-12-23 02:53:46
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Oral puzzles
This one was a challenge
Last edited by Relentless (2015-12-23 02:56:26)
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#4268 2015-12-23 12:36:46
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oral puzzles
Hi;
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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#4269 2015-12-23 15:08:09
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Oral puzzles
Ohhhhhhh... you mean the square of the difference... not the difference of the squares
Oh well, the problem I solved was more interesting. lol
Last edited by Relentless (2015-12-23 15:10:08)
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#4270 2015-12-23 16:01:03
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,361
Re: Oral puzzles
Hi Relentless and bobbym,
The solution # 2653 is correct! Excellent, bobbym!
#2654. If
are the roots of the zeroes of the polynomial , find the value ofIt appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#4271 2015-12-23 17:20:13
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oral puzzles
Hi;
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.
Offline
#4272 2015-12-23 21:24:07
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,361
Re: Oral puzzles
Hi bobbym,
The solution #2654 (two parts) is correct! Excellent!
#2655. If
are the roots of the zeroes of the polynomial , find the value of.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#4273 2015-12-23 23:28:36
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Oral puzzles
I prefer to work with real numbers, but nevertheless;
Last edited by Relentless (2015-12-23 23:29:45)
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#4274 2015-12-24 00:21:39
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,361
Re: Oral puzzles
Hi Relentless,
The other two parts, viz. (ii) and (iii) are correct! Excellent!
#2656. Show that 3 is a zero of the polynomial
. Hence, find all the zeroes of this polynomial.It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#4275 2015-12-24 01:10:35
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Oral puzzles
Oh, I know what happened with part (i). I took alpha to be the smaller root and beta to be the larger, whereas you took them to be the other way around. Since it wasn't specified, I suppose we are both right
Last edited by Relentless (2015-12-24 01:18:42)
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