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50\times 10^{3}r^{2}=9\times 10^{9}\times 80\times 10^{66}\left(-6\right)\times 10^{-6}
विभागणी शुन्यची व्याख्या नाशिल्ल्यान अचल r हो 0 च्या समान आसूंक शकना. r^{2} वरवीं समिकरणाच्या दोनूय कुशींक गुणाकार करचो.
50\times 10^{3}r^{2}=9\times 10^{75}\times 80\left(-6\right)\times 10^{-6}
समान मूळाचो पावर गुणूंक, ताचो ऍक्सपोनंट जोडचो. 75 मेळोवंक 9 आनी 66 जोडचो.
50\times 10^{3}r^{2}=9\times 10^{69}\times 80\left(-6\right)
समान मूळाचो पावर गुणूंक, ताचो ऍक्सपोनंट जोडचो. 69 मेळोवंक 75 आनी -6 जोडचो.
50\times 1000r^{2}=9\times 10^{69}\times 80\left(-6\right)
1000 मेळोवंक 3 चो 10 पॉवर मेजचो.
50000r^{2}=9\times 10^{69}\times 80\left(-6\right)
50000 मेळोवंक 50 आनी 1000 गुणचें.
50000r^{2}=9\times 1000000000000000000000000000000000000000000000000000000000000000000000\times 80\left(-6\right)
1000000000000000000000000000000000000000000000000000000000000000000000 मेळोवंक 69 चो 10 पॉवर मेजचो.
50000r^{2}=9000000000000000000000000000000000000000000000000000000000000000000000\times 80\left(-6\right)
9000000000000000000000000000000000000000000000000000000000000000000000 मेळोवंक 9 आनी 1000000000000000000000000000000000000000000000000000000000000000000000 गुणचें.
50000r^{2}=720000000000000000000000000000000000000000000000000000000000000000000000\left(-6\right)
720000000000000000000000000000000000000000000000000000000000000000000000 मेळोवंक 9000000000000000000000000000000000000000000000000000000000000000000000 आनी 80 गुणचें.
50000r^{2}=-4320000000000000000000000000000000000000000000000000000000000000000000000
-4320000000000000000000000000000000000000000000000000000000000000000000000 मेळोवंक 720000000000000000000000000000000000000000000000000000000000000000000000 आनी -6 गुणचें.
r^{2}=\frac{-4320000000000000000000000000000000000000000000000000000000000000000000000}{50000}
दोनुय कुशींक 50000 न भाग लावचो.
r^{2}=-86400000000000000000000000000000000000000000000000000000000000000000
-86400000000000000000000000000000000000000000000000000000000000000000 मेळोवंक -4320000000000000000000000000000000000000000000000000000000000000000000000 क 50000 न भाग लावचो.
r=2400000000000000000000000000000000\sqrt{15}i r=-2400000000000000000000000000000000\sqrt{15}i
समिकरण आतां सुटावें जालें.
50\times 10^{3}r^{2}=9\times 10^{9}\times 80\times 10^{66}\left(-6\right)\times 10^{-6}
विभागणी शुन्यची व्याख्या नाशिल्ल्यान अचल r हो 0 च्या समान आसूंक शकना. r^{2} वरवीं समिकरणाच्या दोनूय कुशींक गुणाकार करचो.
50\times 10^{3}r^{2}=9\times 10^{75}\times 80\left(-6\right)\times 10^{-6}
समान मूळाचो पावर गुणूंक, ताचो ऍक्सपोनंट जोडचो. 75 मेळोवंक 9 आनी 66 जोडचो.
50\times 10^{3}r^{2}=9\times 10^{69}\times 80\left(-6\right)
समान मूळाचो पावर गुणूंक, ताचो ऍक्सपोनंट जोडचो. 69 मेळोवंक 75 आनी -6 जोडचो.
50\times 1000r^{2}=9\times 10^{69}\times 80\left(-6\right)
1000 मेळोवंक 3 चो 10 पॉवर मेजचो.
50000r^{2}=9\times 10^{69}\times 80\left(-6\right)
50000 मेळोवंक 50 आनी 1000 गुणचें.
50000r^{2}=9\times 1000000000000000000000000000000000000000000000000000000000000000000000\times 80\left(-6\right)
1000000000000000000000000000000000000000000000000000000000000000000000 मेळोवंक 69 चो 10 पॉवर मेजचो.
50000r^{2}=9000000000000000000000000000000000000000000000000000000000000000000000\times 80\left(-6\right)
9000000000000000000000000000000000000000000000000000000000000000000000 मेळोवंक 9 आनी 1000000000000000000000000000000000000000000000000000000000000000000000 गुणचें.
50000r^{2}=720000000000000000000000000000000000000000000000000000000000000000000000\left(-6\right)
720000000000000000000000000000000000000000000000000000000000000000000000 मेळोवंक 9000000000000000000000000000000000000000000000000000000000000000000000 आनी 80 गुणचें.
50000r^{2}=-4320000000000000000000000000000000000000000000000000000000000000000000000
-4320000000000000000000000000000000000000000000000000000000000000000000000 मेळोवंक 720000000000000000000000000000000000000000000000000000000000000000000000 आनी -6 गुणचें.
50000r^{2}+4320000000000000000000000000000000000000000000000000000000000000000000000=0
दोनूय वटांनी 4320000000000000000000000000000000000000000000000000000000000000000000000 जोडचे.
r=\frac{0±\sqrt{0^{2}-4\times 50000\times 4320000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 50000}
हें समिकरण प्रमाणित पद्दतीन आसा: ax^{2}+bx+c=0. क्वॉड्रेटिक सिध्दांत \frac{-b±\sqrt{b^{2}-4ac}}{2a} त a खातीर 50000, b खातीर 0 आनी c खातीर 4320000000000000000000000000000000000000000000000000000000000000000000000 बदली घेवचे.
r=\frac{0±\sqrt{-4\times 50000\times 4320000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 50000}
0 वर्गमूळ.
r=\frac{0±\sqrt{-200000\times 4320000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 50000}
50000क -4 फावटी गुणचें.
r=\frac{0±\sqrt{-864000000000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 50000}
4320000000000000000000000000000000000000000000000000000000000000000000000क -200000 फावटी गुणचें.
r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{2\times 50000}
-864000000000000000000000000000000000000000000000000000000000000000000000000000 चें वर्गमूळ घेवचें.
r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{100000}
50000क 2 फावटी गुणचें.
r=2400000000000000000000000000000000\sqrt{15}i
जेन्ना ± अदीक आस्ता तेन्ना समिकरण r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{100000} सोडोवचें.
r=-2400000000000000000000000000000000\sqrt{15}i
जेन्ना ± वजा आस्ता तेन्ना समिकरण r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{100000} सोडोवचें.
r=2400000000000000000000000000000000\sqrt{15}i r=-2400000000000000000000000000000000\sqrt{15}i
समिकरण आतां सुटावें जालें.