Question:
The number of real roots of the equation
\[
\left( x + \frac{1}{x} \right)^3 + \frac{1}{x} = 0
\]
is
The number of real roots of the equation
\[
\left( x + \frac{1}{x} \right)^3 + \frac{1}{x} = 0
\]
is
Show Hint
When solving polynomial equations, simplify step by step and check the solutions for real values.
Updated On: Jan 6, 2026
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The Correct Option is A
Solution and Explanation
Step 1: Solve the equation.
Simplify the given equation step by step. After solving, we find that there are no real solutions.
Step 2: Conclusion.
Thus, the correct answer is option (A).
Final Answer: \[ \boxed{\text{(A) 0}} \]
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