Solve y=5x^2-7/13

$$y = \frac { 5 x ^ { 2 } - 7 } { 13 }$$

Solve for y

$$y=\frac{5x^{2}-7}{13}$$

Solution Steps

Divide each term of 5x^{2}-7 by 13 to get \frac{5}{13}x^{2}-\frac{7}{13}.

$$y=\frac{5}{13}x^{2}-\frac{7}{13}$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{65y+35}}{5}$$

$$x=\frac{\sqrt{65y+35}}{5}$$

Solve for x

$$x=\frac{\sqrt{65y+35}}{5}$$

$$x=-\frac{\sqrt{65y+35}}{5}\text{, }y\geq -\frac{7}{13}$$