Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x + \(\frac{1}{x}\) = 3, find \(\frac{x^3+\frac{1}{x}}{x^2+1-x}\).

Options:

\(\frac{3}{2}\)

\(\frac{7}{2}\)

\(\frac{5}{2}\)

\(\frac{11}{2}\)

Correct Answer:

\(\frac{7}{2}\)

Explanation:

\(\frac{x^3+\frac{1}{x}}{x^2+1-x}\)

Divide by x.

\(\frac{x^2+\frac{1}{x^2}}{x+\frac{1}{x}-1}\) = \(\frac{(3)^2-2}{3-1}\)=\(\frac{7}{2}\)