The sum of a number and its reciprocal is , find the number.
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Asked on December 20, 2019 by
Rekha Pershad
The sum of a number and its reciprocal is 10/3, find the number (s).
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ANSWER
We have,
Let the number is x.
So,
According to given question,
x+
x
1
=
3
10
⇒
x
x
2
+1
=
3
10
⇒3x
2
+3=10x
⇒3x
2
−10x+3=0
⇒3x
2
−(9+1)x+3=0
⇒3x
2
−9x−1x+3=0
⇒3x(x−3)−1(x−3)=0
⇒(x−3)(3x−1)=0
So,
x−3=0,x=3
3x−1=0
x=
3
1
Hence, this is the required answer.
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