Solve y^2/25-x/144=1quad{l}{V}{R}

$$\frac { y ^ { 2 } } { 25 } - \frac { x } { 144 } = 1 \quad \left. \begin{array} { l } { V } \\ { R } \end{array} \right.$$

Solve for x

$$x=\frac{144\left(y^{2}-25\right)}{25}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3600, the least common multiple of 25,144.

$$144y^{2}-25x=3600$$

Subtract 144y^{2} from both sides.

$$-25x=3600-144y^{2}$$

Divide both sides by -25.

$$\frac{-25x}{-25}=\frac{3600-144y^{2}}{-25}$$

Dividing by -25 undoes the multiplication by -25.

$$x=\frac{3600-144y^{2}}{-25}$$

Divide 3600-144y^{2} by -25.

$$x=\frac{144y^{2}}{25}-144$$

Solve for y (complex solution)

$$y=-\frac{5\sqrt{x+144}}{12}$$

$$y=\frac{5\sqrt{x+144}}{12}$$

Solve for y

$$y=\frac{5\sqrt{x+144}}{12}$$

$$y=-\frac{5\sqrt{x+144}}{12}\text{, }x\geq -144$$