Datrys k/2x-4-1=x/1-2

$$\frac { k } { 2 x - 4 } - 1 = \frac { x } { 1 - 2 }$$

Datrys ar gyfer k

$$k=-2\left(x-2\right)\left(x-1\right)$$

$$x\neq 2$$

Camau Ateb

Lluoswch ddwy ochr yr hafaliad â 2\left(x-2\right).

$$k+2\left(x-2\right)\left(-1\right)=\left(-2x+4\right)x$$

Lluosi 2 a -1 i gael -2.

$$k-2\left(x-2\right)=\left(-2x+4\right)x$$

Defnyddio’r briodwedd ddosbarthu i luosi -2 â x-2.

$$k-2x+4=\left(-2x+4\right)x$$

Defnyddio’r briodwedd ddosbarthu i luosi -2x+4 â x.

$$k-2x+4=-2x^{2}+4x$$

Ychwanegu 2x at y ddwy ochr.

$$k+4=-2x^{2}+4x+2x$$

Cyfuno 4x a 2x i gael 6x.

$$k+4=-2x^{2}+6x$$

Tynnu 4 o'r ddwy ochr.

$$k=-2x^{2}+6x-4$$

Datrys ar gyfer x (complex solution)

$$\left\{\begin{matrix}\\x=\frac{-\sqrt{1-2k}+3}{2}\text{, }&\text{unconditionally}\\x=\frac{\sqrt{1-2k}+3}{2}\text{, }&k\neq 0\end{matrix}\right.$$

Datrys ar gyfer x

$$\left\{\begin{matrix}x=\frac{-\sqrt{1-2k}+3}{2}\text{, }&k\leq \frac{1}{2}\\x=\frac{\sqrt{1-2k}+3}{2}\text{, }&k\neq 0\text{ and }k\leq \frac{1}{2}\end{matrix}\right.$$