Solve y^2=2*13x+39.5

$${ y }^{ 2 } =2 \times 13x+39.5$$

Solve for x

$$x=\frac{y^{2}}{26}-\frac{79}{52}$$

Steps for Solving Linear Equation

Multiply 2 and 13 to get 26.

$$y^{2}=26x+39.5$$

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

$$26x+39.5=y^{2}$$

Subtract 39.5 from both sides.

$$26x=y^{2}-39.5$$

Divide both sides by 26.

$$\frac{26x}{26}=\frac{y^{2}-39.5}{26}$$

Dividing by 26 undoes the multiplication by 26.

$$x=\frac{y^{2}-39.5}{26}$$

Divide y^{2}-39.5 by 26.

$$x=\frac{y^{2}}{26}-\frac{79}{52}$$

Solve for y (complex solution)

$$y=-\sqrt{26x+39.5}$$

$$y=\sqrt{26x+39.5}$$

Solve for y

$$y=\frac{\sqrt{104x+158}}{2}$$

$$y=-\frac{\sqrt{104x+158}}{2}\text{, }x\geq -\frac{79}{52}$$