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Question: The number of real roots of \(\left( x + \frac{1}{x} \right)^{3}\)+ \(\left( x + \frac{1}{x} \right)...

The number of real roots of (x+1x)3\left( x + \frac{1}{x} \right)^{3}+ (x+1x)\left( x + \frac{1}{x} \right)= 0, is -

A

0

B

2

C

4

D

6

Answer

0

Explanation

Solution

(x + 1/x) [(x + 1/x)2 + 1] = 0 Ž x + 1/x = 0 or

(x + 1/x)2 + 1 = 0

\ x + 1/x is always +ve & ³ 2

Hence there is no real roots.