Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $\frac{x}{8}+\frac{8}{x}=1$, then the value of x3 is:

Options:

-256

-512

256

512

Correct Answer:

-512

Explanation:

If we have x + \(\frac{1}{x}\) = 1

Then x3 = -1 always 

So we have  = $\frac{x}{8}+\frac{8}{x}=1$

Then \(\frac{x}{8^3}\) = -1

x3 = -512