Number System Practice Test 1

Question : 25 of 40

Marks: +1, -0

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

Solution:

Let the no. = x then its reciprocal

=1/x

By the question,

(x+1/x)=3(x-1/x)

⇒{x^2+1}/x={3(x^2-1)}/x

⇒x^2 + 1 = 3x^2 -3

⇒3x^2-x^2=3+1

∴x=√2

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