Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $5 x-\frac{5}{x}+6=0$, then $x^2+\frac{1}{x^2}$ is:

Options:

$\frac{86}{25}$

$\frac{43}{12}$

$\frac{81}{10}$

$\frac{86}{11}$

Correct Answer:

$\frac{86}{25}$

Explanation:

If $K-\frac{1}{K}=n$

then, $K^2+\frac{1}{K^2}$ = n2 + 2


If $5 x-\frac{5}{x}+6=0$

$5[ x-\frac{1}{x}]=-6$

x - \(\frac{1}{x}\) = \(\frac{-6}{5}\)

$x^2+\frac{1}{x^2}$ = (\(\frac{-6}{5}\))2 + 2 = \(\frac{36}{25}\) + 2 = $\frac{86}{25}$