Math Is Fun Forum

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)

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 46,295

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.

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.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: Oral puzzles

Hello, just with a rough sketch I think

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 46,295

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.

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 46,295

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.

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 46,295

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.

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.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: Oral puzzles

Hey!

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 46,295

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.

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.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: Oral puzzles

Hello!

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 46,295

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.

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.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: Oral puzzles

Hi;

Is 0x^2 + 0x + 0 a quadratic equation? Hahaha

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.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: Oral puzzles

I think I have learned how to do it

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 46,295

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.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: Oral puzzles

Hello

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 46,295

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.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: Oral puzzles

Hi;

I assume you want the discriminant to equal zero:

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.