The sum of a no.and its reciprocal is 61/30 find no
Answers
Answered by
171
Solution:-
Let the one number be 'x'
So, its reciprocal will be 1/x
Now, according to the question.
x + 1/x = 61/30
(x² + 1)/x = 61/30 after cross multiplying, we get
30x² + 30 = 61x
30x² - 61x + 30 = 0
30x² - 36x - 25x + 30 = 0
6x(5x - 6) - 5(5x - 6) = 0
(6x - 5) (5x - 6) = 0
6x = 5
x = 5/6
And,
5x = 6
x = 6/5
So, the numbers are 5/6 and 6/5
Answer.
Let the one number be 'x'
So, its reciprocal will be 1/x
Now, according to the question.
x + 1/x = 61/30
(x² + 1)/x = 61/30 after cross multiplying, we get
30x² + 30 = 61x
30x² - 61x + 30 = 0
30x² - 36x - 25x + 30 = 0
6x(5x - 6) - 5(5x - 6) = 0
(6x - 5) (5x - 6) = 0
6x = 5
x = 5/6
And,
5x = 6
x = 6/5
So, the numbers are 5/6 and 6/5
Answer.
Answered by
58
Answer:
Step-by-step explanation:
Solution :-
Let the required number be x.
Then,
According to the Question,
⇒ x + 1/x = 2(1/30)
⇒ x² + 1/x = 61/30
⇒ 30x² + 30 = 61x
⇒ 30x² - 61x + 30 = 0
By using factorization method, we get
⇒ 30x² - 61x + 30 = 0
⇒ 30x² - 36x - 25x + 30 = 0
⇒ 6x(5x - 6) - 5(5x - 6) = 0
⇒ (5x - 6) (6x - 5) = 0
⇒ 5x - 6 = 0 or 6x - 5 = 0
⇒ x = 5/6, 6/5
Hence, the required number is 5/6 and 6/5.
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