Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $ X + \frac{1}{x} = 6$, then find the value of $\frac{3x}{2x^2-5x+2}$

Options:

1

$\frac{3}{7}$

$\frac{2}{3}$

0

Correct Answer:

$\frac{3}{7}$

Explanation:

 $ X + \frac{1}{x} = 6$

Find $\frac{3x}{2x^2-5x+2}$

 $ X + \frac{1}{x} = 6$ = x2 + 1 = 6x 

x= 6x - 1

Put xin $\frac{3x}{2x^2-5x+2}$

=  $\frac{3x}{2(6x - 1) -5x+2}$

= $\frac{3x}{12x - 2 -5x+2}$

$\frac{3}{7}$