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#751 2016-09-23 17:29:51

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: Compute the solution:

Hi;

The solutions in 477 are correct. Neat work, bobbym!

478. If

are the roots of the quadratic equation
, find the value 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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#752 2016-09-23 17:39:07

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Compute the solution:

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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#753 2016-09-24 01:23:47

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: Compute the solution:

Hi;

479. The sum of the zeroes of a quadratic polynomial is 3 and the sum of their cubes is 7. Find the polynomial.


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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#754 2016-09-24 04:11:49

thickhead
Member
Registered: 2016-04-16
Posts: 1,086

Re: Compute the solution:

Last edited by thickhead (2016-09-24 04:13:43)


{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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#755 2016-09-24 04:28:25

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Compute the solution:

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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#756 2016-09-24 17:59:04

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: Compute the solution:

Hi;

The solution in 479 is correct. Excellent, thickhead and bobbym!

480. The polynomial

has two of its zeroes equal in magnitude but opposite in sign. Find its zeroes.


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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#757 2016-09-24 19:05:55

thickhead
Member
Registered: 2016-04-16
Posts: 1,086

Re: Compute the solution:


{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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#758 2016-09-24 23:19:45

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Compute the solution:

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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#759 2016-09-25 17:04:11

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: Compute the solution:

Hi;

The solution 480 (three values) is correct. Excellent, thickhead and bobbym!

481. If the centroid of triangle ABC is (-5,3) and two of its vertices are (4,-3) and (-9,7), find the area of triangle ABC.


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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#760 2016-09-25 17:17:32

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Compute the solution:

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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#761 2016-09-26 17:04:04

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: Compute the solution:

Hi;

The solution 481 is correct. Excellent, bobbym!

482. The mid-points of a triangle are (3,2), (-1,-2), and (5,-4). Find the coordinates of the vertices of a triangle and then find its area.


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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#762 2016-09-26 21:07:44

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Compute the solution:

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

#763 2016-09-27 16:16:25

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: Compute the solution:

Hi;

The solution 482 is correct. Excellent, bobbym!

483. If one root of

be reciprocal of the other, 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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#764 2016-09-27 16:56:39

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Compute the solution:

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

#765 2016-09-28 16:59:41

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: Compute the solution:

Hi;

The solution 483 is correct. Excellent, bobbym!

484. Solve for x:


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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#766 2016-09-28 17:04:21

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Compute the solution:

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

#767 2016-09-29 16:39:02

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: Compute the solution:

Hi;

The solutions in 484 are correct. Excellent, bobbym!

485. Solve the following equation for x:


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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#768 2016-09-29 17:28:25

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Compute the solution:

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.

Offline

#769 2016-09-30 17:27:40

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: Compute the solution:

Hi;

The two solutions in 485 are correct. Excellent, bobbym!

486. Solve the following pair of linear equations for x and y:
2(ax - by) + (a + 4b) = 0,
2(bx + ay) + (2b - 4a) = 0.


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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#770 2016-09-30 17:45:37

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Compute the solution:

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

#771 2016-10-01 16:57:52

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: Compute the solution:

Hi;

487. The sum of a two digit number and the number obtained by reversing the order of its digits is 121. If the digit differ by 3, find the number.


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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#772 2016-10-01 17:13:54

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Compute the solution:

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

#773 2016-10-01 17:36:50

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: Compute the solution:

Hi;

488. The monthly incomes of A and B are in the ratio of 9:7 and their monthly expenditures are in the ratio 4:3. If each saves $1,600 per month, find the monthly income of each.


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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#774 2016-10-01 18:48:44

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Compute the solution:

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

#775 2016-10-02 00:19:21

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,423

Re: Compute the solution:

Hi;

The solutions in 488 are correct. Excellent, bobbym!

489. A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the cards thoroughly. Find the probability that the number drawn on the card is:
(1) an odd number.
(2) a multiple of 5.
(3) a perfect square.
(4) an even prime number.


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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