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#5526 2017-05-22 21:20:15

ganesh
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Registered: 2005-06-28
Posts: 23,306

Re: Oral puzzles

Hi;

The solution #3784 is correct. Excellent, zetafunc!

#3785. Determine the nature of the roots of the following quadratic equation:

.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5527 2017-05-23 03:50:46

zetafunc
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Registered: 2014-05-21
Posts: 2,109
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Re: Oral puzzles

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#5528 2017-05-23 15:20:26

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,306

Re: Oral puzzles

Hi;

The solution #3785 is correct. Neat work, zetafunc!

#3786. Determine the nature of the roots of the following quadratic equation:
(x - 2a)(x - 2b) = 4ab.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5529 2017-07-04 00:14:58

zetafunc
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Registered: 2014-05-21
Posts: 2,109
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Re: Oral puzzles

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#5530 2017-07-04 01:33:16

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,306

Re: Oral puzzles

Hi;

The solution #3786 is correct. Neat work, zetafunc!

#3787. Determine the nature of the roots of the following quadratic equation:

.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5531 2017-07-04 01:52:53

zetafunc
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Registered: 2014-05-21
Posts: 2,109
Website

Re: Oral puzzles

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#5532 2017-07-04 14:08:01

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,306

Re: Oral puzzles

Hi;

The solution #3787 is correct. Excellent, zetafunc!

#3788. Determine the nature of the roots of the following quadratic equation:

.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5533 2017-07-09 03:04:19

zetafunc
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Registered: 2014-05-21
Posts: 2,109
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Re: Oral puzzles

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#5534 2017-07-10 13:52:24

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,306

Re: Oral puzzles

Hi,

The solution #3788 (two values) are correct. Excellent, zetafunc!

#3789. Determine the nature of the roots of the following quadratic equation:

.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5535 2017-09-05 02:17:28

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,306

Re: Oral puzzles

Hi,

#3790. Determine the nature of the roots of the following quadratic equation:

.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5536 2017-09-05 22:26:50

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,306

Re: Oral puzzles

Hi,

#3791. Find the value of k for which the given quadratic equation has real and distinct roots:

.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5537 2017-09-07 14:30:39

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,306

Re: Oral puzzles

Hi,

#3792.  Find the value of k for which the given quadratic equation has real and distinct roots:


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5538 2017-09-07 17:39:13

Monox D. I-Fly
Member
Registered: 2015-12-02
Posts: 860

Re: Oral puzzles

Last edited by Monox D. I-Fly (2017-09-07 17:39:33)

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#5539 2017-09-07 17:57:34

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,306

Re: Oral puzzles

Hi,

The

is perfect. Excellent, Monox D. I-Fly!

#3793. Find the values for which the roots are real and equal in the following equation:

.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5540 2017-09-08 17:44:24

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,306

Re: Oral puzzles

Hi,

#3794. Find the values for which the roots are real and equal in the following equation:

.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5541 2017-09-12 00:13:16

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,306

Re: Oral puzzles

Hi,

#3795. The sum of the squares of two consecutive natural numbers is 313. Find the numbers.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5542 2017-09-13 21:51:21

math9maniac
Member
From: Tema
Registered: 2015-03-30
Posts: 407

Re: Oral puzzles


Only a friend tells you your face is dirty.

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#5543 2017-09-13 23:17:56

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,306

Re: Oral puzzles

Hi,

The solution #3795 (two values) is correct. Neat work, math9maniac!

#3796. A two digit number is such that the product of the digits is 14. When 45 is added to the number, the digits are reversed. Find the number.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5544 2017-09-14 01:59:21

Monox D. I-Fly
Member
Registered: 2015-12-02
Posts: 860

Re: Oral puzzles

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#5545 2017-09-14 03:06:20

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,306

Re: Oral puzzles

Hi,

The solution #3796 is correct. Good work, Monox D. I-Fly!

#3797. The sum of the squares of three consecutive natural numbers is 149. Find the numbers.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5546 2017-09-14 12:56:16

Monox D. I-Fly
Member
Registered: 2015-12-02
Posts: 860

Re: Oral puzzles

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#5547 2017-09-14 14:06:20

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,306

Re: Oral puzzles

Hi,

The solution #3797 (three consecutive numbers) is correct. Excellent, Monox D. I-Fly!

#3798. The sum of a number and its reciprocal is 17/4. Find the number.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5548 2017-09-15 02:54:44

math9maniac
Member
From: Tema
Registered: 2015-03-30
Posts: 407

Re: Oral puzzles


Only a friend tells you your face is dirty.

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#5549 2017-09-15 14:06:41

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,306

Re: Oral puzzles

Hi,

The solution #3797 is correct. Excellent, math9maniac!

#3798. If an integer is added to its square, the sum is 90. Find the integer. (two values)


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5550 2017-09-16 17:06:45

Monox D. I-Fly
Member
Registered: 2015-12-02
Posts: 860

Re: Oral puzzles

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