can sum of a number and its reciprocal be 1 ½ ?
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can sum of a number and its reciprocal be 1 ½
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Let one number be x
Its reciprocal be 1/x
According to the question
x + 1/x = 1 1/2
On taking lcm of the denominators
We get
(x^2 + 1)/x = 3/2
On rearranging the equation
2x^2 +2 - 3x =0
2x^2 - 3x + 2 =0
As this cannot be solved, a sum of a number and its reciprocal cannot be 3/2
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