Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

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

Options:

136

194

162

128

Correct Answer:

194

Explanation:

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

then, $K^2+\frac{1}{K^2}$ = n2 – 2

If $x + \frac{1}{x}= 4$,

then the value of $x^2 +\frac{1}{x^2}$ = 42 – 2 = 14

then value of $x^4 +\frac{1}{x^4}$ = 142 – 2 = 194