dy=-0.25x^2+4x-17 eching

$$d y = - 0.25 x ^ { 2 } + 4 x - 17$$

d uchun yechish (complex solution)

$$\left\{\begin{matrix}d=-\frac{x^{2}-16x+68}{4y}\text{, }&y\neq 0\\d\in \mathrm{C}\text{, }&\left(x=8-2i\text{ or }x=8+2i\right)\text{ and }y=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

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

Ikki tarafini y ga bo‘ling.

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

y ga bo'lish y ga ko'paytirishni bekor qiladi.

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

-\frac{x^{2}}{4}+4x-17 ni y ga bo'lish.

$$d=\frac{-x^{2}+16x-68}{4y}$$

d uchun yechish

$$d=-\frac{x^{2}-16x+68}{4y}$$

$$y\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

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

Ikki tarafini y ga bo‘ling.

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

y ga bo'lish y ga ko'paytirishni bekor qiladi.

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

-\frac{x^{2}}{4}+4x-17 ni y ga bo'lish.

$$d=\frac{-x^{2}+16x-68}{4y}$$

x uchun yechish (complex solution)

$$x=-2\sqrt{-dy-1}+8$$

$$x=2\left(\sqrt{-dy-1}+4\right)$$

x uchun yechish

$$x=-2\sqrt{-dy-1}+8$$

$$x=2\sqrt{-dy-1}+8\text{, }\left(y>0\text{ or }d\geq -\frac{1}{y}\right)\text{ and }\left(y<0\text{ or }d\leq -\frac{1}{y}\right)\text{ and }y\neq 0$$