Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $a+\frac{1}{a}=5$, then what is the value of $a^3+\frac{1}{a^3}$ ?

Options:

110

15

105

-10

Correct Answer:

110

Explanation:

If $a+\frac{1}{a}=5$

 then, $a^3+\frac{1}{a^3}$.

a3 + \(\frac{1}{a^3}\) = (a + \(\frac{1}{a}\))3 – 3(a + \(\frac{1}{a}\))

a3 + \(\frac{1}{a^3}\) = 53 – 3 × 5 =  110