{left(sqrt{frac{yx/545/2x/455/5555{left(z^2right)^frac{x{zsqrt{51}}}}}{z}}right)}^2=50000 সমাধান কৰক

$${ \left( \sqrt{ \frac{ \frac{ \frac{ \frac{ \frac{ yx }{ 545 } }{ 2x } }{ 455 } }{ 5555 { \left( { z }^{ 2 } \right) }^{ \frac{ x }{ z \sqrt{ 51 } } } } }{ z } } \right) }^{ 2 } =50000$$

y-ৰ বাবে সমাধান কৰক

$$y=137750112500000z\left(z^{2}\right)^{\frac{\sqrt{51}x}{51z}}$$

$$z\neq 0\text{ and }x\neq 0$$

ৰৈখিক সমীকৰণ সমাধানৰ পদক্ষেপসমূহ

এটা একক ভগ্নাংশ ৰূপে \frac{\frac{\frac{\frac{\frac{yx}{545}}{2x}}{455}}{5555\left(z^{2}\right)^{\frac{x}{z\sqrt{51}}}}}{z} প্ৰকাশ কৰক৷

$$\left(\sqrt{\frac{\frac{\frac{\frac{yx}{545}}{2x}}{455}}{5555\left(z^{2}\right)^{\frac{x}{z\sqrt{51}}}z}}\right)^{2}=50000$$

এটা একক ভগ্নাংশ ৰূপে \frac{\frac{yx}{545}}{2x} প্ৰকাশ কৰক৷

$$\left(\sqrt{\frac{\frac{\frac{yx}{545\times 2x}}{455}}{5555\left(z^{2}\right)^{\frac{x}{z\sqrt{51}}}z}}\right)^{2}=50000$$

নিউমেটৰ আৰু ডেনোমিনেটৰ দুয়োটাতে x সমান কৰক৷

$$\left(\sqrt{\frac{\frac{\frac{y}{2\times 545}}{455}}{5555\left(z^{2}\right)^{\frac{x}{z\sqrt{51}}}z}}\right)^{2}=50000$$

1090 লাভ কৰিবৰ বাবে 2 আৰু 545 পুৰণ কৰক৷

$$\left(\sqrt{\frac{\frac{\frac{y}{1090}}{455}}{5555\left(z^{2}\right)^{\frac{x}{z\sqrt{51}}}z}}\right)^{2}=50000$$

হৰ আৰু লৱক \sqrt{51}ৰে পূৰণ কৰি \frac{x}{z\sqrt{51}}ৰ হৰৰ মূল উলিয়াওক।

$$\left(\sqrt{\frac{\frac{\frac{y}{1090}}{455}}{5555\left(z^{2}\right)^{\frac{x\sqrt{51}}{z\left(\sqrt{51}\right)^{2}}}z}}\right)^{2}=50000$$

\sqrt{51}ৰ বৰ্গমূল হৈছে 51৷

$$\left(\sqrt{\frac{\frac{\frac{y}{1090}}{455}}{5555\left(z^{2}\right)^{\frac{x\sqrt{51}}{z\times 51}}z}}\right)^{2}=50000$$

\frac{x\sqrt{51}}{z\times 51}ত ইতিমধ্যে উপাদান নোহোৱা ৰাশিবোৰক উপাদান কৰক৷

$$\left(\sqrt{\frac{\frac{\frac{y}{1090}}{455}}{5555\left(z^{2}\right)^{\frac{\sqrt{51}x}{51z}}z}}\right)^{2}=50000$$

নিউমেটৰ আৰু ডেনোমিনেটৰ দুয়োটাতে \sqrt{51} সমান কৰক৷

$$\left(\sqrt{\frac{\frac{\frac{y}{1090}}{455}}{5555\left(z^{2}\right)^{\frac{x}{\sqrt{51}z}}z}}\right)^{2}=50000$$

2ৰ পাৱাৰ \sqrt{\frac{\frac{\frac{y}{1090}}{455}}{5555\left(z^{2}\right)^{\frac{x}{\sqrt{51}z}}z}}ক গণনা কৰক আৰু \frac{\frac{\frac{y}{1090}}{455}}{5555\left(z^{2}\right)^{\frac{x}{\sqrt{51}z}}z} লাভ কৰক৷

$$\frac{\frac{\frac{y}{1090}}{455}}{5555\left(z^{2}\right)^{\frac{x}{\sqrt{51}z}}z}=50000$$

এটা একক ভগ্নাংশ ৰূপে \frac{\frac{\frac{y}{1090}}{455}}{5555\left(z^{2}\right)^{\frac{x}{\sqrt{51}z}}z} প্ৰকাশ কৰক৷

$$\frac{\frac{y}{1090}}{455\times 5555\left(z^{2}\right)^{\frac{x}{\sqrt{51}z}}z}=50000$$

2527525 লাভ কৰিবৰ বাবে 455 আৰু 5555 পুৰণ কৰক৷

$$\frac{\frac{y}{1090}}{2527525\left(z^{2}\right)^{\frac{x}{\sqrt{51}z}}z}=50000$$

এটা একক ভগ্নাংশ ৰূপে \frac{\frac{y}{1090}}{2527525\left(z^{2}\right)^{\frac{x}{\sqrt{51}z}}z} প্ৰকাশ কৰক৷

$$\frac{y}{1090\times 2527525\left(z^{2}\right)^{\frac{x}{\sqrt{51}z}}z}=50000$$

2755002250 লাভ কৰিবৰ বাবে 1090 আৰু 2527525 পুৰণ কৰক৷

$$\frac{y}{2755002250\left(z^{2}\right)^{\frac{x}{\sqrt{51}z}}z}=50000$$

সমীকৰণটো মান্য ৰূপত আছে৷

$$\frac{\left(z^{2}\right)^{-\frac{x}{\sqrt{51}z}}}{2755002250z}y=50000$$

\frac{1}{2755002250}\left(z^{2}\right)^{-x\left(\sqrt{51}\right)^{-1}z^{-1}}z^{-1}-ৰ দ্বাৰা দুয়োটা ফাল ভাগ কৰক৷

$$\frac{\frac{\left(z^{2}\right)^{-\frac{x}{\sqrt{51}z}}}{2755002250z}y\times 2755002250z}{\left(z^{2}\right)^{-\frac{x}{\sqrt{51}z}}}=\frac{50000\times 2755002250z}{\left(z^{2}\right)^{-\frac{x}{\sqrt{51}z}}}$$

\frac{1}{2755002250}\left(z^{2}\right)^{-x\left(\sqrt{51}\right)^{-1}z^{-1}}z^{-1}-ৰ দ্বাৰা হৰণ কৰিলে \frac{1}{2755002250}\left(z^{2}\right)^{-x\left(\sqrt{51}\right)^{-1}z^{-1}}z^{-1}-ৰ দ্বাৰা কৰা পুৰণক পূৰ্বৰ দৰে কৰি দিয়ে৷

$$y=\frac{50000\times 2755002250z}{\left(z^{2}\right)^{-\frac{x}{\sqrt{51}z}}}$$

\frac{1}{2755002250}\left(z^{2}\right)^{-x\left(\sqrt{51}\right)^{-1}z^{-1}}z^{-1}-ৰ দ্বাৰা 50000 হৰণ কৰক৷

$$y=137750112500000z\left(z^{2}\right)^{\frac{\sqrt{51}x}{51z}}$$

x-ৰ বাবে সমাধান কৰক

$$\left\{\begin{matrix}x\neq 0\text{, }&\left(y=-137750112500000\text{ and }z=-1\right)\text{ or }\left(y=137750112500000\text{ and }z=1\right)\\x=-\frac{\sqrt{51}\left(\ln(\frac{z}{y})+\ln(137750112500000)\right)z}{\ln(z^{2})}\text{, }&\left(y\neq 137750112500000z\text{ and }z>0\text{ and }y>0\text{ and }z\neq 1\right)\text{ or }\left(y\neq 137750112500000z\text{ and }z<0\text{ and }y<0\text{ and }z\neq -1\right)\end{matrix}\right.$$