सोडोवचें y/left(0.01(x-105)right)^2=z

$$\frac{ y }{ { \left(0.01(x-105) \right) }^{ 2 } } =z$$

y खातीर सोडोवचें

$$y=\frac{z\left(x-105\right)^{2}}{10000}$$

$$x\neq 105$$

लिनियर समिकरण सोडोवंक पांवडे

\left(0.01\left(x-105\right)\right)^{2} विस्तारीत करचो.

$$\frac{y}{0.01^{2}\left(x-105\right)^{2}}=z$$

0.0001 मेळोवंक 2 चो 0.01 पॉवर मेजचो.

$$\frac{y}{0.0001\left(x-105\right)^{2}}=z$$

बायनोमियल प्रमेयाचो वापर करून \left(a-b\right)^{2}=a^{2}-2ab+b^{2} विस्तारावचें \left(x-105\right)^{2}.

$$\frac{y}{0.0001\left(x^{2}-210x+11025\right)}=z$$

x^{2}-210x+11025 न 0.0001 गुणपाक विभाजक विशमाचो वापर करचो.

$$\frac{y}{0.0001x^{2}-0.021x+1.1025}=z$$

समिकरण प्रमाणिक स्वरूपांत आसा.

$$\frac{1}{\frac{x^{2}}{10000}-\frac{21x}{1000}+1.1025}y=z$$

दोनुय कुशींक \left(0.0001x^{2}-0.021x+1.1025\right)^{-1} न भाग लावचो.

$$\frac{\frac{1}{\frac{x^{2}}{10000}-\frac{21x}{1000}+1.1025}y\left(\frac{x^{2}}{10000}-\frac{21x}{1000}+1.1025\right)}{1}=\frac{z\left(\frac{x^{2}}{10000}-\frac{21x}{1000}+1.1025\right)}{1}$$

\left(0.0001x^{2}-0.021x+1.1025\right)^{-1} वरवीं भागाकार केल्यार \left(0.0001x^{2}-0.021x+1.1025\right)^{-1} वरवीं केल्लो गुणाकार काडटा.

$$y=\frac{z\left(\frac{x^{2}}{10000}-\frac{21x}{1000}+1.1025\right)}{1}$$

\left(0.0001x^{2}-0.021x+1.1025\right)^{-1} नz क भाग लावचो.

$$y=\frac{z\left(x-105\right)^{2}}{10000}$$

x खातीर सोडोवचें (जटील सोल्यूशन)

$$\left\{\begin{matrix}\\x\neq 105\text{, }&\text{unconditionally}\\x=-100z^{-0.5}\sqrt{y}+105\text{; }x=100z^{-0.5}\sqrt{y}+105\text{, }&y\neq 0\text{ and }z\neq 0\end{matrix}\right.$$

x खातीर सोडोवचें

$$\left\{\begin{matrix}\\x\neq 105\text{, }&\text{unconditionally}\\x=-100\sqrt{\frac{y}{z}}+105\text{; }x=100\sqrt{\frac{y}{z}}+105\text{, }&z>0\text{ and }y>0\\x=-100\sqrt{\frac{y}{z}}+105\text{; }x=100\sqrt{\frac{y}{z}}+105\text{, }&z<0\text{ and }y<0\end{matrix}\right.$$