If $x +\frac{1}{x} = 5,$ then the value

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $x +\frac{1}{x} = 5,$ then the value of $x^2 + \frac{1}{x^2}$ is:

Options:

Correct Answer:

Explanation:

If $K+\frac{1}{K}=n$

then, $K^2+\frac{1}{K^2}$ = n² – 2

If $x +\frac{1}{x} = 5,$

then the value of $x^2 + \frac{1}{x^2}$ = 5² – 2 = 23