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#101 2019-12-01 00:44:17

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Algebra

Hi,

A#66. The sum of a number and its reciprocal is 5/2. 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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#102 2019-12-02 20:54:01

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Algebra

Hi,

A#67. The sum of some even numbers starting from 2 is 420. Find the number of even numbers added.


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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#103 2019-12-11 03:07:30

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Algebra

Hi,

A#68. A man's age after 15 years will be the square of his age age 15 years ago. Find the age.


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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#104 2019-12-31 22:54:35

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Algebra

Hi,

A#69. The sum of some even numbers starting from 2 is 420. Find the number of even numbers added.


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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#105 2020-01-03 13:37:15

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Algebra

Hi,

A # 70. One year ago, a man's age was eight times the age of his son. At present, man's age is the square of son's age. Find the present ages.


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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#106 2020-01-31 23:36:43

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Algebra

Hi,

A # 71. The product of Rita's age before 5 years and her age after 9 years is 15. Find her present age.


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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#107 2020-02-29 22:42:48

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Algebra

Hi,

A # 72. The sum of the ages of a man and his son is 45 years. The product of their ages before 5 years is 124. Find their present ages.


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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#108 2020-04-01 01:58:52

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Algebra

Hi,

A # 73. Which number added to the polynomial

gives polynomial with (x - 1) as a factor.


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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#109 2020-04-22 19:11:03

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 706

Re: Algebra

A#73. The number (a) =2


"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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#110 2020-04-22 20:13:31

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Algebra

Hi,

Good work!

A # 74. By adding a number to

a new polynomial q(x) is to be formed. What number should be added, so that (x - 1) is a factor of q(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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#111 2020-04-23 19:15:23

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 706

Re: Algebra

A#74:The number (a) = -3.


"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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#112 2020-04-23 21:46:41

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Algebra

Hi 666 bro,

Neat work!

A # 75. Find the remainder then

is divided by (x + 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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#113 2020-04-30 22:56:25

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Algebra

Hi,

A # 76. Find the value of 'a', if (x + a) is a factor 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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#114 2020-05-31 23:59:40

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Algebra

Hi,

A # 77. If

is divided by (x - 3), remainder is -9, find '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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#115 2020-06-15 02:06:03

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 706

Re: Algebra

Solution A#77 is a=2


"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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#116 2020-06-15 02:27:35

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Algebra

Neat work!

A # 78. Find the value of k if (x - 2) is a factor of 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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#117 2020-06-16 01:48:37

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 706

Re: Algebra

Solution A#78 the values are k=1 or k=(1/16)


"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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#118 2020-06-16 15:16:11

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Algebra

Hi,

A # 79. Find the value of k if

is a factor 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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#119 2020-06-16 19:23:32

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 706

Re: Algebra

Solution A#79 the value of k=-3


"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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#120 2020-06-16 23:52:30

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Algebra

Hi,

Neat work!

A # 80. Factorize:


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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#121 2020-06-18 00:59:38

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 706

Re: Algebra

Solution for A#80 is (xy+4z)(xy-4z)((xy)^2 +(4z)^2))

Last edited by 666 bro (2020-06-18 01:00:26)


"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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#122 2020-06-18 01:33:40

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Algebra

Hi,

Neat work!

A # 81. Factorize:


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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#123 2020-06-19 01:48:00

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 706

Re: Algebra

( x+(1/2) ) ( x-(1/4) )=0

x=1/4     or   x= -1/2


"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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#124 2020-06-19 12:56:01

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Algebra

Neat work!

A # 82. 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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#125 2020-06-20 01:05:30

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 706

Re: Algebra

2x^2 -6x -x +3 = 0
2x(x-3) -1(x-3) = 0
(2x-1) ( x-3) = 0
x = 1/2   or   x= 3


"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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