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#4351 2016-01-06 15:04:09
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Oral puzzles
Hello! How could there not be? I am using the same formula, but once you use it with the smaller point as point A, you then use it with the larger point to be point A. Or you simply add the same difference between the points of the larger one that you subtracted from the smaller.
For example, if you did this problem with points (1,2) and (2,3):
If you define A(1,2) and B(2,3) the formula gives you (-1,0)
But if you define A(2,3) and B(1,2) it gives you (4,5)
Both are true, and it's intuitive that there must be two points, one either side of the given ones, that satisfy a given division
Last edited by Relentless (2016-01-06 15:05:51)
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#4352 2016-01-06 15:30:03
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,395
Re: Oral puzzles
Hi Relentless and bobbym,
You are correct!
#2678. (Revised) Find the area of the triangle whose vertices are (1,2), (-3,4),and (-5,-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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#4353 2016-01-06 18:12:06
- 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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#4354 2016-01-06 18:56:09
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Oral puzzles
Hello, just with a rough sketch I think
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#4355 2016-01-07 15:13:30
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,395
Re: Oral puzzles
Hi bobbym and Relentless,
The solution #2678 is correct, bobbym and rough sketch is okay, Excellent!
#2679. If the area of triangle ABC is 68 square units, and the vertices are A (6,7), B (-4,1), and C (a,-9) taken in order, find the value of '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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#4356 2016-01-07 17:09:46
- 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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#4357 2016-01-07 18:19:50
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,395
Re: Oral puzzles
Hi bobbym,
The solution #2679 is correct! Excellent!
#2680. 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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#4358 2016-01-07 19:07:20
- 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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#4359 2016-01-08 18:19:03
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,395
Re: Oral puzzles
Hi bobbym,
The solution #2681 is perfect! Brilliant!
#2682. 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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#4360 2016-01-08 18:38:45
- 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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#4361 2016-01-08 18:45:52
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Oral puzzles
Hey!
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#4362 2016-01-09 00:05:05
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,395
Re: Oral puzzles
Hi bobbym and Relentless,
The solution in #2682 (two parts) is correct! Brilliant!
#2683. If
are the roots of the equation , 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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#4363 2016-01-09 00:35:49
- 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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#4364 2016-01-09 14:07:34
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Oral puzzles
Hello!
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#4365 2016-01-09 19:05:33
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,395
Re: Oral puzzles
Hi bobbym and Relentless,
The solutions in #2683 (two parts) are correct! Excellent!
#2684. If
are the roots of , form a quadratic 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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#4366 2016-01-09 19:23:07
- 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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#4367 2016-01-09 22:05:34
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Oral puzzles
Hi;
Is 0x^2 + 0x + 0 a quadratic equation? Hahaha 
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#4368 2016-01-09 22:19:52
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Oral puzzles
Hi;
That is not a quadratic equation.
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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#4369 2016-01-09 23:49:17
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Oral puzzles
I think I have learned how to do it 
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#4370 2016-01-10 00:45:33
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,395
Re: Oral puzzles
Hi bobbym and Relentless,
The solution #2684 is correct! Excellent!
#2685. 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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#4371 2016-01-10 02:15:21
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Oral puzzles
Hello
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#4372 2016-01-10 07:35:10
- 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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#4373 2016-01-10 17:47:50
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,395
Re: Oral puzzles
Hi Relentless and bobbym,
The solution #2685 is correct! Magnificent!
#2686. Find the value of 'k' for which the roots are real and equal of the following equation:
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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#4374 2016-01-10 18:05:13
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Oral puzzles
Hi;
I assume you want the discriminant to equal zero:
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#4375 2016-01-10 19:16:14
- 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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