Question

the sum of a number and its reciprocal is thrice the difference of the number and its reciprocal. The number is?

Answer 1

$Hlo \: Friend, \\ Here \: is \: your \: answer$

Let the number be x
Reciprocal = 1 / x
So sum = x + ( 1 / x )
= ( x² + 1 ) / x
Difference = ( x² - 1 ) / x
According to ques,
( x² + 1 ) / x = 3 ( x² - 1 ) / x
Removing 1 / x form both sides,
x² + 1 = 3x² - 3
3 + 1 = 3x² - x²
4 / 2 = x²
√2 = x
So the no. is √2 or 1.41....

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Answer 2

root 2

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