Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $\frac{x^2-1}{x}= 8, $then what is the value of $\frac{x^6 -1}{x^3}= ?$

Options:

496

536

512

488

Correct Answer:

536

Explanation:

If x - \(\frac{1}{x}\)  = n

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

 $\frac{x^2-1}{x}$ = x - \(\frac{1}{x}\) = 8

what is the value of $\frac{x^6 -1}{x^3}= ?$

x3 -  \(\frac{1}{x^3}\) = 83 + 3 × 8

x3 -  \(\frac{1}{x^3}\) = 536