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667. If m and n are the roots of the equation
, find the value ofIt 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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Hi,
.
668. If m and n are the roots of the quadratic equation
, find the value ofIt 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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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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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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Hi,
670. Find the value of p for which 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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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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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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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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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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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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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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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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#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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Hi,
The solution 676 is correct. Good work!
677. Find the positive values of m if the roots of the equation is
areIt 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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(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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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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#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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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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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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Neat work!
680. A and B are mutually exclusive events such that
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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p(AUB) = (31/35).
"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan
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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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P(winning) = 4/5 .
"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan
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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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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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