Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $a+\frac{1}{a}=5$ then $a^3+\frac{1}{a^3}$ is:

Options:

110

10

80

140

Correct Answer:

110

Explanation:

If x + \(\frac{1}{x}\)  = n

then, $x^3 +\frac{1}{x^3}$ = n3 - 3 × n

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

$a^3+\frac{1}{a^3}$ = 53 - 3 × 5 = 110