Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $K+\frac{1}{K}=3$, then what is the value of $K^2+\frac{1}{K^2}$ ?

Options:

9

6

7

5

Correct Answer:

7

Explanation:

If $K+\frac{1}{K}=3$

$K^2+\frac{1}{K^2}$ = ?

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

then, $K^2+\frac{1}{K^2}$ = n2 - 2

$K^2+\frac{1}{K^2}$ = 32 - 2 = 7