Solve dy=-025x^2+4x-17

$$d y = - 025 x ^ { 2 } + 4 x - 17$$

Solve for d (complex solution)

$$\left\{\begin{matrix}d=-\frac{25x^{2}-4x+17}{y}\text{, }&y\neq 0\\d\in \mathrm{C}\text{, }&\left(x=\frac{-\sqrt{421}i+2}{25}\text{ or }x=\frac{2+\sqrt{421}i}{25}\right)\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$yd=-25x^{2}+4x-17$$

Divide both sides by y.

$$\frac{yd}{y}=\frac{-25x^{2}+4x-17}{y}$$

Dividing by y undoes the multiplication by y.

$$d=\frac{-25x^{2}+4x-17}{y}$$

Solve for d

$$d=-\frac{25x^{2}-4x+17}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$yd=-25x^{2}+4x-17$$

Divide both sides by y.

$$\frac{yd}{y}=\frac{-25x^{2}+4x-17}{y}$$

Dividing by y undoes the multiplication by y.

$$d=\frac{-25x^{2}+4x-17}{y}$$

Solve for x (complex solution)

$$x=\frac{-\sqrt{-25dy-421}+2}{25}$$

$$x=\frac{\sqrt{-25dy-421}+2}{25}$$

Solve for x

$$x=\frac{-\sqrt{-25dy-421}+2}{25}$$

$$x=\frac{\sqrt{-25dy-421}+2}{25}\text{, }\left(y>0\text{ or }d\geq -\frac{421}{25y}\right)\text{ and }\left(y<0\text{ or }d\leq -\frac{421}{25y}\right)\text{ and }y\neq 0$$