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5\times 10^{3}r^{2}=9\times 10^{9}\times 8\times 10^{66}\left(-6\right)\times 10^{-6}
نۆلگە بۆلۈش بەلگىلەنمىگەچكە ئۆزگەرگۈچى مىقدار r قىممەت 0 گە تەڭ ئەمەس. تەڭلىمىنىڭ ھەر ئىككى تەرىپىنى r^{2} گە كۆپەيتىڭ.
5\times 10^{3}r^{2}=9\times 10^{75}\times 8\left(-6\right)\times 10^{-6}
ئوخشاش ئاساسنىڭ دەرىجىسىنى كۆپەيتىش ئۈچۈن ئۇلارنىڭ دەرىجە كۆرسەتكۈچلىرىنى قوشۇڭ. 9 بىلەن 66 نى قوشۇپ، 75 نى چىقىرىڭ.
5\times 10^{3}r^{2}=9\times 10^{69}\times 8\left(-6\right)
ئوخشاش ئاساسنىڭ دەرىجىسىنى كۆپەيتىش ئۈچۈن ئۇلارنىڭ دەرىجە كۆرسەتكۈچلىرىنى قوشۇڭ. 75 بىلەن -6 نى قوشۇپ، 69 نى چىقىرىڭ.
5\times 1000r^{2}=9\times 10^{69}\times 8\left(-6\right)
10 نىڭ 3-دەرىجىسىنى ھېسابلاپ 1000 نى چىقىرىڭ.
5000r^{2}=9\times 10^{69}\times 8\left(-6\right)
5 گە 1000 نى كۆپەيتىپ 5000 نى چىقىرىڭ.
5000r^{2}=9\times 1000000000000000000000000000000000000000000000000000000000000000000000\times 8\left(-6\right)
10 نىڭ 69-دەرىجىسىنى ھېسابلاپ 1000000000000000000000000000000000000000000000000000000000000000000000 نى چىقىرىڭ.
5000r^{2}=9000000000000000000000000000000000000000000000000000000000000000000000\times 8\left(-6\right)
9 گە 1000000000000000000000000000000000000000000000000000000000000000000000 نى كۆپەيتىپ 9000000000000000000000000000000000000000000000000000000000000000000000 نى چىقىرىڭ.
5000r^{2}=72000000000000000000000000000000000000000000000000000000000000000000000\left(-6\right)
9000000000000000000000000000000000000000000000000000000000000000000000 گە 8 نى كۆپەيتىپ 72000000000000000000000000000000000000000000000000000000000000000000000 نى چىقىرىڭ.
5000r^{2}=-432000000000000000000000000000000000000000000000000000000000000000000000
72000000000000000000000000000000000000000000000000000000000000000000000 گە -6 نى كۆپەيتىپ -432000000000000000000000000000000000000000000000000000000000000000000000 نى چىقىرىڭ.
r^{2}=\frac{-432000000000000000000000000000000000000000000000000000000000000000000000}{5000}
ھەر ئىككى تەرەپنى 5000 گە بۆلۈڭ.
r^{2}=-86400000000000000000000000000000000000000000000000000000000000000000
-432000000000000000000000000000000000000000000000000000000000000000000000 نى 5000 گە بۆلۈپ -86400000000000000000000000000000000000000000000000000000000000000000 نى چىقىرىڭ.
r=2400000000000000000000000000000000\sqrt{15}i r=-2400000000000000000000000000000000\sqrt{15}i
تەڭلىمە يېشىلدى.
5\times 10^{3}r^{2}=9\times 10^{9}\times 8\times 10^{66}\left(-6\right)\times 10^{-6}
نۆلگە بۆلۈش بەلگىلەنمىگەچكە ئۆزگەرگۈچى مىقدار r قىممەت 0 گە تەڭ ئەمەس. تەڭلىمىنىڭ ھەر ئىككى تەرىپىنى r^{2} گە كۆپەيتىڭ.
5\times 10^{3}r^{2}=9\times 10^{75}\times 8\left(-6\right)\times 10^{-6}
ئوخشاش ئاساسنىڭ دەرىجىسىنى كۆپەيتىش ئۈچۈن ئۇلارنىڭ دەرىجە كۆرسەتكۈچلىرىنى قوشۇڭ. 9 بىلەن 66 نى قوشۇپ، 75 نى چىقىرىڭ.
5\times 10^{3}r^{2}=9\times 10^{69}\times 8\left(-6\right)
ئوخشاش ئاساسنىڭ دەرىجىسىنى كۆپەيتىش ئۈچۈن ئۇلارنىڭ دەرىجە كۆرسەتكۈچلىرىنى قوشۇڭ. 75 بىلەن -6 نى قوشۇپ، 69 نى چىقىرىڭ.
5\times 1000r^{2}=9\times 10^{69}\times 8\left(-6\right)
10 نىڭ 3-دەرىجىسىنى ھېسابلاپ 1000 نى چىقىرىڭ.
5000r^{2}=9\times 10^{69}\times 8\left(-6\right)
5 گە 1000 نى كۆپەيتىپ 5000 نى چىقىرىڭ.
5000r^{2}=9\times 1000000000000000000000000000000000000000000000000000000000000000000000\times 8\left(-6\right)
10 نىڭ 69-دەرىجىسىنى ھېسابلاپ 1000000000000000000000000000000000000000000000000000000000000000000000 نى چىقىرىڭ.
5000r^{2}=9000000000000000000000000000000000000000000000000000000000000000000000\times 8\left(-6\right)
9 گە 1000000000000000000000000000000000000000000000000000000000000000000000 نى كۆپەيتىپ 9000000000000000000000000000000000000000000000000000000000000000000000 نى چىقىرىڭ.
5000r^{2}=72000000000000000000000000000000000000000000000000000000000000000000000\left(-6\right)
9000000000000000000000000000000000000000000000000000000000000000000000 گە 8 نى كۆپەيتىپ 72000000000000000000000000000000000000000000000000000000000000000000000 نى چىقىرىڭ.
5000r^{2}=-432000000000000000000000000000000000000000000000000000000000000000000000
72000000000000000000000000000000000000000000000000000000000000000000000 گە -6 نى كۆپەيتىپ -432000000000000000000000000000000000000000000000000000000000000000000000 نى چىقىرىڭ.
5000r^{2}+432000000000000000000000000000000000000000000000000000000000000000000000=0
432000000000000000000000000000000000000000000000000000000000000000000000 نى ھەر ئىككى تەرەپكە قوشۇڭ.
r=\frac{0±\sqrt{0^{2}-4\times 5000\times 432000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 5000}
بۇ تەڭلىمە ئۆلچەملىك شەكىلدە: ax^{2}+bx+c=0. كىۋادراتلىق فورمۇلا \frac{-b±\sqrt{b^{2}-4ac}}{2a} دا 5000 نى a گە، 0 نى b گە ۋە 432000000000000000000000000000000000000000000000000000000000000000000000 نى c گە ئالماشتۇرۇڭ.
r=\frac{0±\sqrt{-4\times 5000\times 432000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 5000}
0 نىڭ كىۋادراتىنى تېپىڭ.
r=\frac{0±\sqrt{-20000\times 432000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 5000}
-4 نى 5000 كە كۆپەيتىڭ.
r=\frac{0±\sqrt{-8640000000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 5000}
-20000 نى 432000000000000000000000000000000000000000000000000000000000000000000000 كە كۆپەيتىڭ.
r=\frac{0±24000000000000000000000000000000000000\sqrt{15}i}{2\times 5000}
-8640000000000000000000000000000000000000000000000000000000000000000000000000 نىڭ كىۋادرات يىلتىزىنى چىقىرىڭ.
r=\frac{0±24000000000000000000000000000000000000\sqrt{15}i}{10000}
2 نى 5000 كە كۆپەيتىڭ.
r=2400000000000000000000000000000000\sqrt{15}i
± پىلۇس بولغاندىكى تەڭلىمە r=\frac{0±24000000000000000000000000000000000000\sqrt{15}i}{10000} نى يېشىڭ.
r=-2400000000000000000000000000000000\sqrt{15}i
± مىنۇس بولغاندىكى تەڭلىمە r=\frac{0±24000000000000000000000000000000000000\sqrt{15}i}{10000} نى يېشىڭ.
r=2400000000000000000000000000000000\sqrt{15}i r=-2400000000000000000000000000000000\sqrt{15}i
تەڭلىمە يېشىلدى.