सोडोवचें z^2-2510^-12+1610^-12=0

$${ z }^{ 2 } -25 { 10 }^{ -12 } +16 { 10 }^{ -12 } =0$$

z खातीर सोडोवचें

$$z=\frac{3}{1000000}=0.000003$$

$$z=-\frac{3}{1000000}=-0.000003$$

वर्ग मूळ सोदून पांवडे

\frac{1}{1000000000000} मेळोवंक -12 चो 10 पॉवर मेजचो.

$$z^{2}-25\times \frac{1}{1000000000000}+16\times 10^{-12}=0$$

\frac{1}{40000000000} मेळोवंक 25 आनी \frac{1}{1000000000000} गुणचें.

$$z^{2}-\frac{1}{40000000000}+16\times 10^{-12}=0$$

\frac{1}{1000000000000} मेळोवंक -12 चो 10 पॉवर मेजचो.

$$z^{2}-\frac{1}{40000000000}+16\times \frac{1}{1000000000000}=0$$

\frac{1}{62500000000} मेळोवंक 16 आनी \frac{1}{1000000000000} गुणचें.

$$z^{2}-\frac{1}{40000000000}+\frac{1}{62500000000}=0$$

-\frac{9}{1000000000000} मेळोवंक -\frac{1}{40000000000} आनी \frac{1}{62500000000} ची बेरीज करची.

$$z^{2}-\frac{9}{1000000000000}=0$$

दोनूय वटांनी \frac{9}{1000000000000} जोडचे. किदेंय अदीक शुन्य तें दितां.

$$z^{2}=\frac{9}{1000000000000}$$

समिकरणाच्या दोनूय कुशींनी वर्गमूळ काडचो.

$$z=\frac{3}{1000000} z=-\frac{3}{1000000}$$

क्वॉड्रेटिक सिध्दांत वापरून पांवडे

\frac{1}{1000000000000} मेळोवंक -12 चो 10 पॉवर मेजचो.

$$z^{2}-25\times \frac{1}{1000000000000}+16\times 10^{-12}=0$$

\frac{1}{40000000000} मेळोवंक 25 आनी \frac{1}{1000000000000} गुणचें.

$$z^{2}-\frac{1}{40000000000}+16\times 10^{-12}=0$$

\frac{1}{1000000000000} मेळोवंक -12 चो 10 पॉवर मेजचो.

$$z^{2}-\frac{1}{40000000000}+16\times \frac{1}{1000000000000}=0$$

\frac{1}{62500000000} मेळोवंक 16 आनी \frac{1}{1000000000000} गुणचें.

$$z^{2}-\frac{1}{40000000000}+\frac{1}{62500000000}=0$$

-\frac{9}{1000000000000} मेळोवंक -\frac{1}{40000000000} आनी \frac{1}{62500000000} ची बेरीज करची.

$$z^{2}-\frac{9}{1000000000000}=0$$

हें समिकरण प्रमाणित पद्दतीन आसा: ax^{2}+bx+c=0. क्वॉड्रेटिक सिध्दांत \frac{-b±\sqrt{b^{2}-4ac}}{2a} त a खातीर 1, b खातीर 0 आनी c खातीर -\frac{9}{1000000000000} बदली घेवचे.

$$z=\frac{0±\sqrt{0^{2}-4\left(-\frac{9}{1000000000000}\right)}}{2}$$

0 वर्गमूळ.

$$z=\frac{0±\sqrt{-4\left(-\frac{9}{1000000000000}\right)}}{2}$$

-\frac{9}{1000000000000}क -4 फावटी गुणचें.

$$z=\frac{0±\sqrt{\frac{9}{250000000000}}}{2}$$

\frac{9}{250000000000} चें वर्गमूळ घेवचें.

$$z=\frac{0±\frac{3}{500000}}{2}$$

जेन्ना ± अदीक आस्ता तेन्ना समिकरण z=\frac{0±\frac{3}{500000}}{2} सोडोवचें.

$$z=\frac{3}{1000000}$$

जेन्ना ± वजा आस्ता तेन्ना समिकरण z=\frac{0±\frac{3}{500000}}{2} सोडोवचें.

$$z=-\frac{3}{1000000}$$

समिकरण आतां सुटावें जालें.

$$z=\frac{3}{1000000} z=-\frac{3}{1000000}$$