सोडोवचें k/2x-4-1=x/1-2

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

k खातीर सोडोवचें

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

$$x\neq 2$$

सोडोवणी पांवडे

2\left(x-2\right) वरवीं समिकरणाच्या दोनूय कुशींक गुणाकार करचो.

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

-2 मेळोवंक 2 आनी -1 गुणचें.

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

x-2 न -2 गुणपाक विभाजक विशमाचो वापर करचो.

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

x न -2x+4 गुणपाक विभाजक विशमाचो वापर करचो.

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

दोनूय वटांनी 2x जोडचे.

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

6x मेळोवंक 4x आनी 2x एकठांय करचें.

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

दोनूय कुशींतल्यान 4 वजा करचें.

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

x खातीर सोडोवचें (जटील सोल्यूशन)

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

x खातीर सोडोवचें

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