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#4801 2016-05-01 23:49:09
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Oral puzzles
Hi;
The solution #2883 is correct. Good work, bobbym!
#2884. Find the area of the triangle whose vertices are (4,3), (5,4), and (11,2).
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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#4802 2016-05-02 02:13:14
- 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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#4803 2016-05-02 16:35:35
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Oral puzzles
Hi;
The solution #2884 is correct. Excellent, bobbym!
#2885. Find the area of the triangle ABC, if coordinates of vertices are A(2,0), B(11,6), and C(-4,4).
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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#4804 2016-05-02 16:47:41
- 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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#4805 2016-05-02 20:34:04
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Oral puzzles
Hey,
What is a better way than Heron's formula? lol
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#4806 2016-05-02 23:35:39
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Oral puzzles
Hi;
The solution #2885 is correct. Excellent, bobbym and Relentless!
#2886. The two opposite vertices of a square are (-1,2) and (3,2). Find the coordinates of the other two vertices.
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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#4807 2016-05-03 02:48:23
- 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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#4808 2016-05-03 17:24:02
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Oral puzzles
Hi;
#2887. Solve:
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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#4809 2016-05-03 18:01:43
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Oral puzzles
Oh wow #2886 was a sneaky question! 
(btw if bobbym's interpretation of the problem were valid, (3,-2) and (-1,-2) would also have been possible)
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#4810 2016-05-03 22:33:23
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Oral puzzles
Hi;
The solution #2887 (two parts) are correct. Splendid, Relentless!
#2888. Find the nature of roots of the following quadratic equation. If the real roots exist, find them.
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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#4811 2016-05-03 23:26:37
- 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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#4812 2016-05-04 00:08:25
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Oral puzzles
Hi;
The double root (#2888) is correct. Excellent, bobbym!
#2889. Find the nature of roots of the following quadratic equation. If the real roots exist, find them.
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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#4813 2016-05-04 00:25:48
- 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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#4814 2016-05-04 17:50:11
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Oral puzzles
Hi bobbym;
Very close. I get .
Good work!
#2990. Find the values of k for the the following quadratic equation, so that they have two real equal roots.
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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#4815 2016-05-04 18:58:24
- 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
#4816 2016-05-04 20:47:04
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Oral puzzles
Hi (:
For #2889 I agree with ganesh
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#4817 2016-05-05 00:08:21
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Oral puzzles
Hi;
For #2889, Thanks, Relentless.
For #2990, the solution set is correct. Excellent, bobbym!
#2991. Find the value of k for the the following quadratic equation, so that they have two real equal roots.
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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#4818 2016-05-05 04:41:27
- 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
#4819 2016-05-05 17:10:17
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Oral puzzles
Hi;
The solution #2991 is correct. Neat work, bobbym!
#2992. Determine the positive values of k for which the equations
and will both have real roots.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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#4820 2016-05-05 17:55:08
- 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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#4821 2016-05-06 00:14:38
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Oral puzzles
Hi;
The solution #2992 is correct. Neat work, bobbym!
#2993. If 3 is a solution of
then 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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#4822 2016-05-06 03:08:59
- 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
#4823 2016-05-06 17:05:56
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Oral puzzles
Hi;
The solution #2993 is correct. Good work, bobbym!
#2994. If
has a root x = 2, then find 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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#4824 2016-05-06 23:22:53
- 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.
Offline
#4825 2016-05-06 23:37:10
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Oral puzzles
Hi;
The solution #2994 is correct.Good work, bobbym!
#2995. The roots of
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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