Question

If $y-\frac{1}{3y}=\frac{1}{3}$ then the value of $y(y-\frac{1}{3})$ is

• A. $\frac{1}{3}$
• B. $\frac{1}{4}$
• C. $\frac{1}{5}$
• D. $\frac{1}{6}$

Answer 1

The correct option is A $\frac{1}{3}$

$y-\frac{1}{3y}=\frac{1}{3}$

Multiply with y

Then $y^2-\frac{1}{3y}\times y=\frac{1}{3}y$

$\Rightarrow y^2-\frac{1}{3}=\frac{1}{3}y$

$\Rightarrow y^2-\frac{1}{3}y=\frac{1}{3}$

$y(y-\frac{1}{3})=\frac{1}{3}$