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#1976 2010-12-27 23:59:29
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,763
Re: 10 second questions
Hi Howardroark and bobbym,
The solutions to 2621, 2622, 2623, and 2624 are perfect! Intelligent work!
#2625. Give the nature of roots of x[sup]2[/sup] + ax + bx + ab = 0.
#2626. Find the solutions 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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#1977 2010-12-28 00:09:07
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: 10 second questions
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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#1978 2010-12-28 01:58:25
- Howardroark
- Member
- Registered: 2010-10-10
- Posts: 382
Re: 10 second questions
Hi ganesh;
I come from a civilization which has given the world the number 0..
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#1979 2010-12-29 00:53:26
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,763
Re: 10 second questions
Hi bobbym and Howardroark,
The solutions to bobbym and Howardroark are correct. However, the question 2625 (bobbym) was regarding the nature of roots. Brilliant!
#2627. One root of the equation x[sup]2[/sup] - 3x + q = 0 is twice the other, then what is q?
#2628. The sum and products of the roots of 2x[sup]2[/sup] - 4x + 1 = 0 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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#1980 2010-12-29 01:21:28
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: 10 second questions
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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#1981 2010-12-29 04:58:08
- Howardroark
- Member
- Registered: 2010-10-10
- Posts: 382
Re: 10 second questions
Hi ganesh,
I come from a civilization which has given the world the number 0..
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#1982 2010-12-29 23:58:25
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,763
Re: 10 second questions
Hi bobbym and Howardroark,
The solutions to 2627 and 2628 are correct. The minor defect in the solution 2628 of Howardroark is 2 should replace -2 in the sum.
#2629. What is one root of 2x[sup]2[/sup] = 3x?
#2630. What is one factor of x[sup]3[/sup] - 2x[sup]2[/sup] - 5x + 6?
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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#1983 2010-12-30 00:40:48
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: 10 second questions
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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#1984 2010-12-30 23:07:35
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,763
Re: 10 second questions
Hi bobbym,
The solutions of 2629 and 2630 is perfect. Well done!
#2631. What is the partial fraction representation of
?#2632. If
and are the roots of the equation ax[sup]2[/sup] + bx + = 0, then what is ?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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#1985 2010-12-31 00:56:08
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: 10 second questions
Hi ganesh;
Is something left out on the end of #2632?
Happy New Year!
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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#1986 2010-12-31 21:49:04
- Howardroark
- Member
- Registered: 2010-10-10
- Posts: 382
Re: 10 second questions
Hi,
Last edited by Howardroark (2010-12-31 21:52:26)
I come from a civilization which has given the world the number 0..
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#1987 2011-01-01 00:25:46
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,763
Re: 10 second questions
Hi bobbym and Howardroark,
New Year wishes to you too!
The solution to 2631 is correct given by bobbym. Well done!
Regarding 2632, the given equation is ax[sup]2[/sup] + bx + = 0. That is my mistake, regretted.
#2633.
= _________________________.#2634. The sum of two numbers is 9 and sum of their reciproals 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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#1988 2011-01-01 00:49:14
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: 10 second questions
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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#1989 2011-01-01 01:40:05
- Howardroark
- Member
- Registered: 2010-10-10
- Posts: 382
Re: 10 second questions
HI Ganesh and BobbyM,
New year wishes from my side.. Have a nice year ahead..
I come from a civilization which has given the world the number 0..
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#1990 2011-01-01 01:52:18
- Howardroark
- Member
- Registered: 2010-10-10
- Posts: 382
Re: 10 second questions
Hi ganesh,
Regarding 2631:
I took the partial fractions in the form
which shouldn't be used in this case.. There i went wrong..
I come from a civilization which has given the world the number 0..
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#1991 2011-01-01 01:56:15
- Howardroark
- Member
- Registered: 2010-10-10
- Posts: 382
Re: 10 second questions
Hi ganesh,
I come from a civilization which has given the world the number 0..
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#1992 2011-01-02 00:48:53
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,763
Re: 10 second questions
Hi bobbym and Howardroark,
The solutions to 2632, 2633, and 2634 are correct. Marvelous!
#2635. What is the Greatest Common Divisor of
?#2636. If
is divided by (x - 3), what is the remainder?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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#1993 2011-01-02 00:56:44
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: 10 second questions
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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#1994 2011-01-02 04:09:30
- Howardroark
- Member
- Registered: 2010-10-10
- Posts: 382
Re: 10 second questions
Hi ganesh,
I come from a civilization which has given the world the number 0..
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#1995 2011-01-03 00:37:56
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,763
Re: 10 second questions
Hi bobbym and Howardroark,
The solutions to 2635 and 2636 are correct. Brilliant!
#2637. What is the quotient when
is divided by 2x + 1?#2638. Find the quadratic equation whose roors are -5 and 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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#1996 2011-01-03 00:43:43
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: 10 second questions
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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#1997 2011-01-03 05:13:46
- Howardroark
- Member
- Registered: 2010-10-10
- Posts: 382
Re: 10 second questions
Hi ganesh,
I come from a civilization which has given the world the number 0..
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#1998 2011-01-04 23:51:52
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,763
Re: 10 second questions
Hi bobbym and Howardroark,
The solutions to 2637 and 2638 are correct. Perfect!
#2639. Find the Greatest Common Divisor of
.#2640. Find the Least Common Multiple 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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#1999 2011-01-05 04:22:05
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: 10 second questions
Hi ganesh;
Hi Howardroark;
I am sorry I missed your Holiday Greeting. Hope you and ganesh had a good holiday. Hope this year is kind to us all.
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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#2000 2011-01-06 00:14:13
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,763
Re: 10 second questions
Hi bobbym,
Thanks again for the good wishes.
The solutions to 2639 and 2640 are correct. Perfect!
#2641. If (x - 2) is a factor of
, then what is a equal to?#2642. The quotient and remainder when
is divided by x - 3 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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