Solveeit Logo
Login

Question

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+(x+1x)\left( x + \frac{1}{x} \right)^{3} + \left( x + \frac{1}{x} \right)= 0 is-

A

0

B

2

C

4

D

6

Answer

0

Explanation

Solution

Let x + (1/x) = t

t3 + t = 0 ⇒ t(t2 + 1) = 0

⇒ t = 0 Q t2 + 1 ≠ 0

⇒ x + (1/x) = 0

⇒ x2 + 1 = 0 ⇒ not possible

⇒ real solution are = 0