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#126 2020-06-20 01:15:31

Jai Ganesh
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Registered: 2005-06-28
Posts: 48,410

Re: Algebra

Hi,

The solution A # 82 is correct. Good work!

A # 83. 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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#127 2020-06-20 22:05:35

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

Re: Algebra

The values of x = (- √3)/2 , (- √3)/2


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

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#128 2020-06-21 00:03:55

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Algebra

Hi,

Neat work!

A # 84. Find the roots 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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#129 2020-06-21 21:45:27

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

Re: Algebra

A#84 the roots of x =   ( 3+√(13) )/(2)  ,  ( 3-√(13 ) )/(2)


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

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#130 2020-06-21 22:08:07

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Algebra

Hi,

The solution A#84 is perfect. Neat work!

A # 85. The diagonal of a rectangular field is 60 meters more than the shorter side. If the longer side is 30 meters more than the shorter side, find the sides of the field.


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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#131 2020-06-22 17:33:40

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

Re: Algebra

The sides of an rectangle are
Length = 60metres
Breadth = 30 metres
Length of the diagonal = 90 metres.


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

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#132 2020-06-22 21:13:58

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Algebra

Hi,

A # 86. 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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#133 2020-06-23 17:05:22

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

Re: Algebra

A#86: the values of x =  2/√(3) ,  2/√(3).


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

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#134 2020-06-23 19:58:49

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Algebra

Hi,

Neat work!

A # 87. 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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#135 2020-06-24 17:13:42

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

Re: Algebra

A#87: the values of x =  ( 3+√(3) )/2  , (3-√(3) )/2


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

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#136 2020-06-24 20:11:50

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Algebra

Hi,

Neat work!

A # 88. Find the value of k for the following quadratic equation such that they have two equal roots:


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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#137 2020-06-25 17:47:13

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

Re: Algebra

The value of k = ±2√(6).


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

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#138 2020-06-25 19:15:08

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Algebra

Neat work!

A # 89. Find the value of k for the following quadratic equation such that they have two equal roots:


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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#139 2020-06-26 18:28:07

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

Re: Algebra

The value of k = 6.


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

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#140 2020-06-26 21:17:19

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Algebra

Well done!

A # 90. 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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#141 2020-06-27 19:26:24

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

Re: Algebra

A#90: M = 2 or  M= (-7/2)


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

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#142 2020-06-27 23:29:27

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Algebra

.

Good work!

A # 91. Find the value f 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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#143 2020-06-28 23:23:22

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

Re: Algebra

x = 2√3  or  x= -2/√3 .


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

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#144 2020-06-30 14:33:13

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Algebra

A# 92. 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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#145 2020-06-30 22:59:51

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

Re: Algebra

A#92: y = ( ( -3±√(15) )/2  ).


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

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#146 2020-07-01 14:02:09

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Algebra

Hi,

Excellent!

A # 93. Solve:

(PS: Give me a week or two do verify the solution.)


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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#147 2020-07-10 18:25:13

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

Re: Algebra

Last edited by 666 bro (2020-07-10 18:25:29)


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

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#148 2020-07-10 19:07:30

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Algebra

Hi,

Neat work!

A # 94. Find the roots of the quadratic equation. (Roots are irrational numbers)


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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#149 2020-07-14 15:40:47

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Algebra

Hi,

A # 95. 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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#150 2020-07-14 15:43:03

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,410

Re: Algebra

Hi,

A # 95. 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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