Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $x^2+\frac{1}{x^2}=98$, then the value of $x+\frac{1}{x}$ is:

Options:

10

8

7

9

Correct Answer:

10

Explanation:

If $x^2+\frac{1}{x^2}=98$,

then the value of $x+\frac{1}{x}$

If x2 + \(\frac{1}{x^2}\) = b

and x + \(\frac{1}{x}\) = \(\sqrt {b + 2}\)

Then,  $x+\frac{1}{x}$ = \(\sqrt {98 + 2}\) = 10