Atrisiniet 50*10^{3}=(9*10^9)(80*10^66)(-6*10^-6)/r^2

$$50 \times 10 ^ { 3 } = \frac { ( 9 \times 10 ^ { 9 } ) ( 80 \times 10 ^ { 66 } ) ( - 6 \times 10 ^ { - 6 } ) } { r ^ { 2 } }$$

Atrast r

$$r=-2400000000000000000000000000000000\sqrt{15}i\approx -0-9,295160031 \cdot 10^{33}i$$

$$r=2400000000000000000000000000000000\sqrt{15}i\approx 9,295160031 \cdot 10^{33}i$$

Darbības, izvelkot kvadrātsakni

Mainīgais r nevar būt vienāds ar 0, jo dalīšana ar nulli nav definēta. Reiziniet vienādojuma abas puses ar r^{2}.

$$50\times 10^{3}r^{2}=9\times 10^{9}\times 80\times 10^{66}\left(-6\right)\times 10^{-6}$$

Lai reizinātu vienas bāzes pakāpes, saskaitiet kāpinātājus. Saskaitiet 9 un 66, lai iegūtu 75.

$$50\times 10^{3}r^{2}=9\times 10^{75}\times 80\left(-6\right)\times 10^{-6}$$

Lai reizinātu vienas bāzes pakāpes, saskaitiet kāpinātājus. Saskaitiet 75 un -6, lai iegūtu 69.

$$50\times 10^{3}r^{2}=9\times 10^{69}\times 80\left(-6\right)$$

Aprēķiniet 10 pakāpē 3 un iegūstiet 1000.

$$50\times 1000r^{2}=9\times 10^{69}\times 80\left(-6\right)$$

Reiziniet 50 un 1000, lai iegūtu 50000.

$$50000r^{2}=9\times 10^{69}\times 80\left(-6\right)$$

Aprēķiniet 10 pakāpē 69 un iegūstiet 1000000000000000000000000000000000000000000000000000000000000000000000.

$$50000r^{2}=9\times 1000000000000000000000000000000000000000000000000000000000000000000000\times 80\left(-6\right)$$

Reiziniet 9 un 1000000000000000000000000000000000000000000000000000000000000000000000, lai iegūtu 9000000000000000000000000000000000000000000000000000000000000000000000.

$$50000r^{2}=9000000000000000000000000000000000000000000000000000000000000000000000\times 80\left(-6\right)$$

Reiziniet 9000000000000000000000000000000000000000000000000000000000000000000000 un 80, lai iegūtu 720000000000000000000000000000000000000000000000000000000000000000000000.

$$50000r^{2}=720000000000000000000000000000000000000000000000000000000000000000000000\left(-6\right)$$

Reiziniet 720000000000000000000000000000000000000000000000000000000000000000000000 un -6, lai iegūtu -4320000000000000000000000000000000000000000000000000000000000000000000000.

$$50000r^{2}=-4320000000000000000000000000000000000000000000000000000000000000000000000$$

Daliet abas puses ar 50000.

$$r^{2}=\frac{-4320000000000000000000000000000000000000000000000000000000000000000000000}{50000}$$

Daliet -4320000000000000000000000000000000000000000000000000000000000000000000000 ar 50000, lai iegūtu -86400000000000000000000000000000000000000000000000000000000000000000.

$$r^{2}=-86400000000000000000000000000000000000000000000000000000000000000000$$

Vienādojums tagad ir atrisināts.

$$r=2400000000000000000000000000000000\sqrt{15}i r=-2400000000000000000000000000000000\sqrt{15}i$$

Darbības, izmantojot kvadrātvienādojuma sakņu formulu

Mainīgais r nevar būt vienāds ar 0, jo dalīšana ar nulli nav definēta. Reiziniet vienādojuma abas puses ar r^{2}.

$$50\times 10^{3}r^{2}=9\times 10^{9}\times 80\times 10^{66}\left(-6\right)\times 10^{-6}$$

Lai reizinātu vienas bāzes pakāpes, saskaitiet kāpinātājus. Saskaitiet 9 un 66, lai iegūtu 75.

$$50\times 10^{3}r^{2}=9\times 10^{75}\times 80\left(-6\right)\times 10^{-6}$$

Lai reizinātu vienas bāzes pakāpes, saskaitiet kāpinātājus. Saskaitiet 75 un -6, lai iegūtu 69.

$$50\times 10^{3}r^{2}=9\times 10^{69}\times 80\left(-6\right)$$

Aprēķiniet 10 pakāpē 3 un iegūstiet 1000.

$$50\times 1000r^{2}=9\times 10^{69}\times 80\left(-6\right)$$

Reiziniet 50 un 1000, lai iegūtu 50000.

$$50000r^{2}=9\times 10^{69}\times 80\left(-6\right)$$

Aprēķiniet 10 pakāpē 69 un iegūstiet 1000000000000000000000000000000000000000000000000000000000000000000000.

$$50000r^{2}=9\times 1000000000000000000000000000000000000000000000000000000000000000000000\times 80\left(-6\right)$$

Reiziniet 9 un 1000000000000000000000000000000000000000000000000000000000000000000000, lai iegūtu 9000000000000000000000000000000000000000000000000000000000000000000000.

$$50000r^{2}=9000000000000000000000000000000000000000000000000000000000000000000000\times 80\left(-6\right)$$

Reiziniet 9000000000000000000000000000000000000000000000000000000000000000000000 un 80, lai iegūtu 720000000000000000000000000000000000000000000000000000000000000000000000.

$$50000r^{2}=720000000000000000000000000000000000000000000000000000000000000000000000\left(-6\right)$$

Reiziniet 720000000000000000000000000000000000000000000000000000000000000000000000 un -6, lai iegūtu -4320000000000000000000000000000000000000000000000000000000000000000000000.

$$50000r^{2}=-4320000000000000000000000000000000000000000000000000000000000000000000000$$

Pievienot 4320000000000000000000000000000000000000000000000000000000000000000000000 abās pusēs.

$$50000r^{2}+4320000000000000000000000000000000000000000000000000000000000000000000000=0$$

Šis vienādojums ir standarta formā: ax^{2}+bx+c=0. Kvadrātvienādojuma sakņu formulā \frac{-b±\sqrt{b^{2}-4ac}}{2a} aizvietojiet a ar 50000, b ar 0 un c ar 4320000000000000000000000000000000000000000000000000000000000000000000000.

$$r=\frac{0±\sqrt{0^{2}-4\times 50000\times 4320000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 50000}$$

Kāpiniet 0 kvadrātā.

$$r=\frac{0±\sqrt{-4\times 50000\times 4320000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 50000}$$

Reiziniet -4 reiz 50000.

$$r=\frac{0±\sqrt{-200000\times 4320000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 50000}$$

Reiziniet -200000 reiz 4320000000000000000000000000000000000000000000000000000000000000000000000.

$$r=\frac{0±\sqrt{-864000000000000000000000000000000000000000000000000000000000000000000000000000}}{2\times 50000}$$

Izvelciet kvadrātsakni no -864000000000000000000000000000000000000000000000000000000000000000000000000000.

$$r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{2\times 50000}$$

Reiziniet 2 reiz 50000.

$$r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{100000}$$

Tagad atrisiniet vienādojumu r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{100000}, ja ± ir pluss.

$$r=2400000000000000000000000000000000\sqrt{15}i$$

Tagad atrisiniet vienādojumu r=\frac{0±240000000000000000000000000000000000000\sqrt{15}i}{100000}, ja ± ir mīnuss.

$$r=-2400000000000000000000000000000000\sqrt{15}i$$

Vienādojums tagad ir atrisināts.

$$r=2400000000000000000000000000000000\sqrt{15}i r=-2400000000000000000000000000000000\sqrt{15}i$$