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#1126 2020-01-03 23:25:08

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

Re: Compute the solution:

Hi,

667. If m and n are the roots of the 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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#1127 2020-01-09 23:00:49

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

Re: Compute the solution:

Hi,

.

668. If m and n 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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#1128 2020-01-14 01:51:53

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

Re: Compute the solution:

Solution #668 The value of (m/n) +(n/m) is 3(√5)

Last edited by 666 bro (2020-01-14 01:52:35)


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

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#1129 2020-01-14 02:59:45

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

Re: Compute the solution:

Hi,

669. Find the value of p for which the quadratic equation

has 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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#1130 2020-01-28 02:17:27

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

Re: Compute the solution:

Hi,

670. Find the value of p for which the quadratic equation

has 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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#1131 2020-02-01 14:59:35

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

Re: Compute the solution:

Hi,

671. Find the value of 'p' for which the quadratic equation have 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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#1132 2020-02-29 23:36:06

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

Re: Compute the solution:

Hi,

672. For what positive values of 'm', the roots of the following equation is
(1) equal
(2) distinct
(3) imaginary.


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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#1133 2020-03-02 21:01:24

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

Re: Compute the solution:

Hi,

673. For what values of 'm', the roots of the following equation are
(1) equal
(2) distinct
(3) imaginary.


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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#1134 2020-05-04 00:12:57

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

Re: Compute the solution:

Hi,

674. Find the roots of the quadratic 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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#1135 2020-06-03 23:42:01

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

Re: Compute the solution:

Hi,

675. Find the roots of the quadratic 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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#1136 2020-06-04 18:39:22

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

Re: Compute the solution:

Solution for # 675 is x= - √2 ,  x= -(5/√2)


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

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#1137 2020-06-04 22:49:36

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

Re: Compute the solution:

Hi 666 bro,

Excellent!

676. Find two consecutive positive integers, sum of whose squares is 365.


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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#1138 2020-06-22 22:07:29

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

Re: Compute the solution:

#676 : The two consecutive numbers are 13 and 14 respectively.


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

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#1139 2020-06-23 00:06:59

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

Re: Compute the solution:

Hi,

The solution 676 is correct. Good work!

677. Find the positive values of m if the roots of the equation is

are
(a) equal
(b) distinct
(c) imaginary.


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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#1140 2020-06-23 17:32:49

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

Re: Compute the solution:

(a ) for equal roots m = 6.
(b) for distinct roots m > 6.
(c) for imaginary roots m < 6.


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

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#1141 2020-06-23 19:46:32

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

Re: Compute the solution:

Hi,

Good work!

678. Find the value of p for which the quadratic equation given below have 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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#1142 2020-06-24 21:49:50

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

Re: Compute the solution:

#678: the value of p = ±2√(2).


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

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#1143 2020-06-24 23:53:52

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

Re: Compute the solution:

Good work!

679. Find the value of p for which the quadratic equation given below have 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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#1144 2020-06-25 20:25:38

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

Re: Compute the solution:

The value of p = 1/3.


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

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#1145 2020-06-25 23:30:00

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

Re: Compute the solution:

Neat work!

680. A and B are mutually exclusive events such that

then find


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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#1146 2020-06-29 22:07:16

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

Re: Compute the solution:

p(AUB) = (31/35).


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

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#1147 2020-06-30 00:03:06

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

Re: Compute the solution:

Well done!

681. In a random experiment, there is a chance of win or lose. But the probability of winning is four times of losing. Find the probability of winning.


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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#1148 2020-06-30 23:05:09

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

Re: Compute the solution:

P(winning) = 4/5 .


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

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#1149 2020-07-01 00:43:02

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

Re: Compute the solution:

Good work!

682. Two dice are thrown simultaneously. Find the probability of getting
(a) same number on both faces and
(b) both faces having multiples of 5.


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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#1150 2020-07-01 01:01:12

pi_cubed
Member
From: A rhombicosidodecahedron
Registered: 2020-06-22
Posts: 115

Re: Compute the solution:

If both conditions are satisfied then P(a and b) = 1/36
(Correct me if I'm wrong, it seems too simple.)

Last edited by pi_cubed (2020-07-01 01:02:24)


pi³

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