Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $x+\frac{1}{x}=7$, then $x^2+\frac{1}{x^2}$ is equal to:

Options:

47

49

61

51

Correct Answer:

47

Explanation:

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

then, $K^2+\frac{1}{K^2}$ = n2 – 2

If $x+\frac{1}{x}=7$,

then $x^2+\frac{1}{x^2}$ = 72 – 2 = 47