Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $ x + \frac{1}{x} = 7$, find the value of $ x^3 +\frac{1}{x^3}$.

Options:

343

322

340

332

Correct Answer:

322

Explanation:

If $ x + \frac{1}{x} = 7$,

find the value of $ x^3 +\frac{1}{x^3}$

If x + \(\frac{1}{x}\)  = n

then, $x^3 +\frac{1}{x^3}$ = n3 - 3n

$ x + \frac{1}{x} = 7$,

$ x^3 +\frac{1}{x^3}$ = 73 - 3 × 7 = 322