Chapter 12, Problem 13CCSR

To determine

To find: the equation in the form of $y$ by solving the given equation and choose the correct option.

Answer to Problem 13CCSR

The option A is correct option.

Explanation of Solution

Given:

  $2x^{2}y-4y=-24$ .

Concept used:

The equation can be expanded by multiplying the number outside the bracket and inside the bracket.

Same or like term can be added or subtracted combining together will form new equation.

The higher degree of the polynomial should be written first.

Calculation:

  $2{\text{x}}^2\text{y}-4\text{y}=-24$ .

The equation can be taken common as:

  $\begin{array}{l}2y\left(x^2-2\right)=-24.\\ \Rightarrow 2y=-\frac{24}{x^2-2}.\\ \Rightarrow y=-\frac{12}{x^2-2}.\end{array}$

Hence, option A is correct option.