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#451 2010-12-10 03:00:41
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oral puzzles
Hi ganesh;
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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#452 2010-12-11 00:52:12
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,295
Re: Oral puzzles
Hi bobbym,
The solution to 855 is perfect. Good work!
#856. What is the Least Common Multiple of (x[sup]3[/sup] - 1) and (x - 1)[sup]3[/sup]?
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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#453 2010-12-11 00:59:30
- 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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#454 2010-12-12 00:54:32
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,295
Re: Oral puzzles
Hi bobbym,
The solution to 856 is perfect. Very well done!
#857. Find the quotient when 2x[sup]3[/sup] + x[sup]2[/sup] - 5x + 2 is divided by x + 2.
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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#455 2010-12-12 05:06:56
- 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
#456 2010-12-13 00:52:18
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,295
Re: Oral puzzles
Hi bobbym,
The solution to 857 is correct. Good work!
#858. The sum of two natural numbers is 8 and the sum of their reciprocal is
. What are the numbers?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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#457 2010-12-13 02:05:05
- Howardroark
- Member
- Registered: 2010-10-10
- Posts: 382
Re: Oral puzzles
Hi Ganesh,
I come from a civilization which has given the world the number 0..
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#458 2010-12-13 05:51:15
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oral puzzles
Hi ganesh;
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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#459 2010-12-14 01:20:01
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,295
Re: Oral puzzles
Hi Howardroark and bobbym,
The solution to 858 is correct. Well done!
#859. If 4x + 5y = 83 and
, then what is y - x = ?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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#460 2010-12-14 01:48:54
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oral puzzles
Hi ganesh;
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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#461 2010-12-15 00:59:21
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,295
Re: Oral puzzles
Hi bobbym,
The solution to 859 is correct. Well done!
#860. If
and are the roots of the equation x[sup]2[/sup] - 7x + 8 = 0, 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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#462 2010-12-15 04:51:47
- Howardroark
- Member
- Registered: 2010-10-10
- Posts: 382
Re: Oral puzzles
Hi ganesh,
I come from a civilization which has given the world the number 0..
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#463 2010-12-15 06:43:57
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oral puzzles
Hi ganesh;
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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#464 2010-12-25 00:56:08
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,295
Re: Oral puzzles
Hi bobbym and Howardroark,
The solutions to 859 and 860 are correct. Magnificent!
#861. If p and q are the roots of the equation 3x[sup]2[/sup] - 5x + 2 = 0, then what is p - q?
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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#465 2010-12-25 04:14:32
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oral puzzles
Hi ganesh;
Welcome back!
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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#466 2010-12-26 00:10:37
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,295
Re: Oral puzzles
Hi bobbym,
The solution to 861 is perfect. Keep it up!
#862. Find the equation whose roots 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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#467 2010-12-26 05:30:51
- Howardroark
- Member
- Registered: 2010-10-10
- Posts: 382
Re: Oral puzzles
Hi ganesh,
Nice to see u after a long time..
I come from a civilization which has given the world the number 0..
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#468 2010-12-26 07:08:18
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oral puzzles
Hi ganesh;
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
#469 2010-12-28 00:14:28
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,295
Re: Oral puzzles
Hi Howardroark and bobbym,
The solutions to 861 and 862/862 are perfect. Very good work!
#863. Find the quotient when x[sup]3[/sup] + 3x[sup]2[/sup] + 5x + 2 is divided by x + 3.
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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#470 2010-12-28 00:23:57
- 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
#471 2010-12-28 02:05:05
- Howardroark
- Member
- Registered: 2010-10-10
- Posts: 382
Re: Oral puzzles
hi ganesh,
I come from a civilization which has given the world the number 0..
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#472 2010-12-29 01:08:49
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,295
Re: Oral puzzles
Hi bobbym and Howardroark,
The solution to 863 is perfect. Smart work!
#864. If 9x[sup]2[/sup] + 3kx + 4 = 0 has equal roots, then what is the value of 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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#473 2010-12-29 01:12:41
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oral puzzles
Hi ganesh;
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
#474 2010-12-29 05:41:13
- Howardroark
- Member
- Registered: 2010-10-10
- Posts: 382
Re: Oral puzzles
Hi ganesh,
I come from a civilization which has given the world the number 0..
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#475 2010-12-30 00:27:08
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,295
Re: Oral puzzles
Hi bobbym and Howardroark,
I get the solution to 864 as plus or minus 4. However, the solution is acceptable. Good work!
#865. What is the remainder when p(x) = x[sup]3[/sup] - 6x[sup]2[/sup] + 2x - 4 is divided by 1 - 3x?
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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