Solve y^2=10x+500000

$${ y }^{ 2 } =10x+500000$$

Solve for x

$$x=\frac{y^{2}-500000}{10}$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$10x+500000=y^{2}$$

Subtract 500000 from both sides.

$$10x=y^{2}-500000$$

Divide both sides by 10.

$$\frac{10x}{10}=\frac{y^{2}-500000}{10}$$

Dividing by 10 undoes the multiplication by 10.

$$x=\frac{y^{2}-500000}{10}$$

Divide y^{2}-500000 by 10.

$$x=\frac{y^{2}}{10}-50000$$

Solve for y (complex solution)

$$y=-\sqrt{10\left(x+50000\right)}$$

$$y=\sqrt{10\left(x+50000\right)}$$

Solve for y

$$y=\sqrt{10\left(x+50000\right)}$$

$$y=-\sqrt{10\left(x+50000\right)}\text{, }x\geq -50000$$