सोडोवचें HB=1500/314*5*(5-sqrt{5^2-2295^2)}

$$H B = \frac { 1500 } { 314 \cdot 5 \cdot ( 5 - \sqrt { 5 ^ { 2 } - 2295 ^ { 2 } } ) }$$

B खातीर सोडोवचें

$$B=\frac{10\left(1+2\sqrt{52670}i\right)}{11025639H}$$

$$H\neq 0$$

लिनियर समिकरण सोडोवंक पांवडे

1570 मेळोवंक 5 आनी 314 गुणचें.

$$HB=\frac{1500}{1570\left(5-\sqrt{5^{2}-2295^{2}}\right)}$$

25 मेळोवंक 2 चो 5 पॉवर मेजचो.

$$HB=\frac{1500}{1570\left(5-\sqrt{25-2295^{2}}\right)}$$

5267025 मेळोवंक 2 चो 2295 पॉवर मेजचो.

$$HB=\frac{1500}{1570\left(5-\sqrt{25-5267025}\right)}$$

-5267000 मेळोवंक 25 आनी 5267025 वजा करचे.

$$HB=\frac{1500}{1570\left(5-\sqrt{-5267000}\right)}$$

-5267000=\left(10i\right)^{2}\times 52670 गुणकपद काडचें. \sqrt{\left(10i\right)^{2}}\sqrt{52670} च्या वर्ग मूळाचो गुणाकार म्हूण \sqrt{\left(10i\right)^{2}\times 52670} च्या वर्गमूळाचो गुणाकार परत बरोवचो. \left(10i\right)^{2} चें वर्गमूळ घेवचें.

$$HB=\frac{1500}{1570\left(5-10i\sqrt{52670}\right)}$$

5-10i\sqrt{52670} न 1570 गुणपाक विभाजक विशमाचो वापर करचो.

$$HB=\frac{1500}{7850-15700i\sqrt{52670}}$$

न्युमरेटर आनी डिनोमिनेटर 7850+15700i\sqrt{52670} न गुणून \frac{1500}{7850-15700i\sqrt{52670}} चो डिनोमिनेटर रेशनलायझ तर्कसंगत करचो.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{\left(7850-15700i\sqrt{52670}\right)\left(7850+15700i\sqrt{52670}\right)}$$

विचारांत घेयात \left(7850-15700i\sqrt{52670}\right)\left(7850+15700i\sqrt{52670}\right). नेम वापरून गुणाकार विभिन्न चवकोनांत रुपांतरण करूं येताः \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{7850^{2}-\left(-15700i\sqrt{52670}\right)^{2}}$$

61622500 मेळोवंक 2 चो 7850 पॉवर मेजचो.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{61622500-\left(-15700i\sqrt{52670}\right)^{2}}$$

\left(-15700i\sqrt{52670}\right)^{2} विस्तारीत करचो.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{61622500-\left(-15700i\right)^{2}\left(\sqrt{52670}\right)^{2}}$$

-246490000 मेळोवंक 2 चो -15700i पॉवर मेजचो.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{61622500-\left(-246490000\left(\sqrt{52670}\right)^{2}\right)}$$

\sqrt{52670} चो वर्ग 52670 आसा.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{61622500-\left(-246490000\times 52670\right)}$$

-12982628300000 मेळोवंक -246490000 आनी 52670 गुणचें.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{61622500-\left(-12982628300000\right)}$$

12982628300000 मेळोवंक -1 आनी -12982628300000 गुणचें.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{61622500+12982628300000}$$

12982689922500 मेळोवंक 61622500 आनी 12982628300000 ची बेरीज करची.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{12982689922500}$$

\frac{1}{8655126615}\left(7850+15700i\sqrt{52670}\right) मेळोवंक 1500\left(7850+15700i\sqrt{52670}\right) क 12982689922500 न भाग लावचो.

$$HB=\frac{1}{8655126615}\left(7850+15700i\sqrt{52670}\right)$$

7850+15700i\sqrt{52670} न \frac{1}{8655126615} गुणपाक विभाजक विशमाचो वापर करचो.

$$HB=\frac{10}{11025639}+\frac{20}{11025639}i\sqrt{52670}$$

संज्ञा परत क्रमान लावची.

$$BH=\frac{10}{11025639}+\frac{20}{11025639}\sqrt{52670}i$$

समिकरण प्रमाणिक स्वरूपांत आसा.

$$HB=\frac{10+20\sqrt{52670}i}{11025639}$$

दोनुय कुशींक H न भाग लावचो.

$$\frac{HB}{H}=\frac{10+20\sqrt{52670}i}{11025639H}$$

H वरवीं भागाकार केल्यार H वरवीं केल्लो गुणाकार काडटा.

$$B=\frac{10+20\sqrt{52670}i}{11025639H}$$

H न\frac{10+20i\sqrt{52670}}{11025639} क भाग लावचो.

$$B=\frac{10\left(1+2\sqrt{52670}i\right)}{11025639H}$$

H खातीर सोडोवचें

$$H=\frac{10\left(1+2\sqrt{52670}i\right)}{11025639B}$$

$$B\neq 0$$

लिनियर समिकरण सोडोवंक पांवडे

1570 मेळोवंक 5 आनी 314 गुणचें.

$$HB=\frac{1500}{1570\left(5-\sqrt{5^{2}-2295^{2}}\right)}$$

25 मेळोवंक 2 चो 5 पॉवर मेजचो.

$$HB=\frac{1500}{1570\left(5-\sqrt{25-2295^{2}}\right)}$$

5267025 मेळोवंक 2 चो 2295 पॉवर मेजचो.

$$HB=\frac{1500}{1570\left(5-\sqrt{25-5267025}\right)}$$

-5267000 मेळोवंक 25 आनी 5267025 वजा करचे.

$$HB=\frac{1500}{1570\left(5-\sqrt{-5267000}\right)}$$

-5267000=\left(10i\right)^{2}\times 52670 गुणकपद काडचें. \sqrt{\left(10i\right)^{2}}\sqrt{52670} च्या वर्ग मूळाचो गुणाकार म्हूण \sqrt{\left(10i\right)^{2}\times 52670} च्या वर्गमूळाचो गुणाकार परत बरोवचो. \left(10i\right)^{2} चें वर्गमूळ घेवचें.

$$HB=\frac{1500}{1570\left(5-10i\sqrt{52670}\right)}$$

5-10i\sqrt{52670} न 1570 गुणपाक विभाजक विशमाचो वापर करचो.

$$HB=\frac{1500}{7850-15700i\sqrt{52670}}$$

न्युमरेटर आनी डिनोमिनेटर 7850+15700i\sqrt{52670} न गुणून \frac{1500}{7850-15700i\sqrt{52670}} चो डिनोमिनेटर रेशनलायझ तर्कसंगत करचो.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{\left(7850-15700i\sqrt{52670}\right)\left(7850+15700i\sqrt{52670}\right)}$$

विचारांत घेयात \left(7850-15700i\sqrt{52670}\right)\left(7850+15700i\sqrt{52670}\right). नेम वापरून गुणाकार विभिन्न चवकोनांत रुपांतरण करूं येताः \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{7850^{2}-\left(-15700i\sqrt{52670}\right)^{2}}$$

61622500 मेळोवंक 2 चो 7850 पॉवर मेजचो.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{61622500-\left(-15700i\sqrt{52670}\right)^{2}}$$

\left(-15700i\sqrt{52670}\right)^{2} विस्तारीत करचो.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{61622500-\left(-15700i\right)^{2}\left(\sqrt{52670}\right)^{2}}$$

-246490000 मेळोवंक 2 चो -15700i पॉवर मेजचो.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{61622500-\left(-246490000\left(\sqrt{52670}\right)^{2}\right)}$$

\sqrt{52670} चो वर्ग 52670 आसा.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{61622500-\left(-246490000\times 52670\right)}$$

-12982628300000 मेळोवंक -246490000 आनी 52670 गुणचें.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{61622500-\left(-12982628300000\right)}$$

12982628300000 मेळोवंक -1 आनी -12982628300000 गुणचें.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{61622500+12982628300000}$$

12982689922500 मेळोवंक 61622500 आनी 12982628300000 ची बेरीज करची.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{12982689922500}$$

\frac{1}{8655126615}\left(7850+15700i\sqrt{52670}\right) मेळोवंक 1500\left(7850+15700i\sqrt{52670}\right) क 12982689922500 न भाग लावचो.

$$HB=\frac{1}{8655126615}\left(7850+15700i\sqrt{52670}\right)$$

7850+15700i\sqrt{52670} न \frac{1}{8655126615} गुणपाक विभाजक विशमाचो वापर करचो.

$$HB=\frac{10}{11025639}+\frac{20}{11025639}i\sqrt{52670}$$

संज्ञा परत क्रमान लावची.

$$BH=\frac{10}{11025639}+\frac{20}{11025639}\sqrt{52670}i$$

समिकरण प्रमाणिक स्वरूपांत आसा.

$$BH=\frac{10+20\sqrt{52670}i}{11025639}$$

दोनुय कुशींक B न भाग लावचो.

$$\frac{BH}{B}=\frac{10+20\sqrt{52670}i}{11025639B}$$

B वरवीं भागाकार केल्यार B वरवीं केल्लो गुणाकार काडटा.

$$H=\frac{10+20\sqrt{52670}i}{11025639B}$$

B न\frac{10+20i\sqrt{52670}}{11025639} क भाग लावचो.

$$H=\frac{10\left(1+2\sqrt{52670}i\right)}{11025639B}$$