Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $ x^2 +\frac{1}{x^2}=4 $, then what is the value of $x^4 +\frac{1}{x^4}$.

Options:

16

14

12 

20

Correct Answer:

14

Explanation:

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

then, $K^2+\frac{1}{K^2}$ = n2 – 2

If $ x^2 +\frac{1}{x^2}=4 $

Then, $x^4 +\frac{1}{x^4}$ = 42 – 2 = 14