The sum of a number and its reciprocal is 13/6
. Find the number.
Answers
Answered by
36
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Given :-
The sum of a rational number and its reciprocal is 13/6.
To Find :-
The Number
Solution :-
Let the number be x.
According to the Question
⇒ x + (1/x) = 13/6
⇒ (x2 + 1)/x = 13/6
⇒ 6x2 – 13x + 6 = 0
⇒ 6x2 – 9x – 4x + 6 = 0
⇒ (3x – 2) (2x – 3) = 0
⇒ x = 2/3 or x = 3/2
Hence, the required number is 2/3 or 3/2.
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Answered by
0
Answer:
2/2 OR 3/2
Step-by-step explanation:
Given :-
The sum of a rational number and its reciprocal is 13/6.
Solution :-
Let the number be x.
According to the Question
⇒ x + (1/x) = 13/6
⇒ (x2 + 1)/x = 13/6
⇒ 6x2 – 13x + 6 = 0
⇒ 6x2 – 9x – 4x + 6 = 0
⇒ (3x – 2) (2x – 3) = 0
⇒ x = 2/3 or x = 3/2
Hence, the required number is 2/3 or 3/2.
Please mark me as brainliest
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