Whakaoti i te 5.0*10^{3}=(9*10^9)(8.0*10^6)(-6*10^-6)/r^2

$$5.0 \times 10 ^ { 3 } = \frac { ( 9 \times 10 ^ { 9 } ) ( 8.0 \times 10 ^ { 6 } ) ( - 6 \times 10 ^ { - 6 } ) } { r ^ { 2 } }$$

Whakaoti mō r

$$r=-2400\sqrt{15}i\approx -0-9295.160030898i$$

$$r=2400\sqrt{15}i\approx 9295.160030898i$$

Ngā Upane mā te Kimi Pūtakerua

Tē taea kia ōrite te tāupe r ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te r^{2}.

$$5\times 10^{3}r^{2}=9\times 10^{9}\times 8\times 10^{6}\left(-6\right)\times 10^{-6}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 9 me te 6 kia riro ai te 15.

$$5\times 10^{3}r^{2}=9\times 10^{15}\times 8\left(-6\right)\times 10^{-6}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 15 me te -6 kia riro ai te 9.

$$5\times 10^{3}r^{2}=9\times 10^{9}\times 8\left(-6\right)$$

Tātaihia te 10 mā te pū o 3, kia riro ko 1000.

$$5\times 1000r^{2}=9\times 10^{9}\times 8\left(-6\right)$$

Whakareatia te 5 ki te 1000, ka 5000.

$$5000r^{2}=9\times 10^{9}\times 8\left(-6\right)$$

Tātaihia te 10 mā te pū o 9, kia riro ko 1000000000.

$$5000r^{2}=9\times 1000000000\times 8\left(-6\right)$$

Whakareatia te 9 ki te 1000000000, ka 9000000000.

$$5000r^{2}=9000000000\times 8\left(-6\right)$$

Whakareatia te 9000000000 ki te 8, ka 72000000000.

$$5000r^{2}=72000000000\left(-6\right)$$

Whakareatia te 72000000000 ki te -6, ka -432000000000.

$$5000r^{2}=-432000000000$$

Whakawehea ngā taha e rua ki te 5000.

$$r^{2}=\frac{-432000000000}{5000}$$

Whakawehea te -432000000000 ki te 5000, kia riro ko -86400000.

$$r^{2}=-86400000$$

Kua oti te whārite te whakatau.

$$r=2400\sqrt{15}i r=-2400\sqrt{15}i$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tē taea kia ōrite te tāupe r ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te r^{2}.

$$5\times 10^{3}r^{2}=9\times 10^{9}\times 8\times 10^{6}\left(-6\right)\times 10^{-6}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 9 me te 6 kia riro ai te 15.

$$5\times 10^{3}r^{2}=9\times 10^{15}\times 8\left(-6\right)\times 10^{-6}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 15 me te -6 kia riro ai te 9.

$$5\times 10^{3}r^{2}=9\times 10^{9}\times 8\left(-6\right)$$

Tātaihia te 10 mā te pū o 3, kia riro ko 1000.

$$5\times 1000r^{2}=9\times 10^{9}\times 8\left(-6\right)$$

Whakareatia te 5 ki te 1000, ka 5000.

$$5000r^{2}=9\times 10^{9}\times 8\left(-6\right)$$

Tātaihia te 10 mā te pū o 9, kia riro ko 1000000000.

$$5000r^{2}=9\times 1000000000\times 8\left(-6\right)$$

Whakareatia te 9 ki te 1000000000, ka 9000000000.

$$5000r^{2}=9000000000\times 8\left(-6\right)$$

Whakareatia te 9000000000 ki te 8, ka 72000000000.

$$5000r^{2}=72000000000\left(-6\right)$$

Whakareatia te 72000000000 ki te -6, ka -432000000000.

$$5000r^{2}=-432000000000$$

Me tāpiri te 432000000000 ki ngā taha e rua.

$$5000r^{2}[phone]=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 5000 mō a, 0 mō b, me 432000000000 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$r=\frac{0±\sqrt{0^{2}-4\times 5000\times 432000000000}}{2\times 5000}$$

Pūrua 0.

$$r=\frac{0±\sqrt{-4\times 5000\times 432000000000}}{2\times 5000}$$

Whakareatia -4 ki te 5000.

$$r=\frac{0±\sqrt{-20000\times 432000000000}}{2\times 5000}$$

Whakareatia -20000 ki te 432000000000.

$$r=\frac{0±\sqrt{-8640000000000000}}{2\times 5000}$$

Tuhia te pūtakerua o te -8640000000000000.

$$r=\frac{0±24000000\sqrt{15}i}{2\times 5000}$$

Whakareatia 2 ki te 5000.

$$r=\frac{0±24000000\sqrt{15}i}{10000}$$

Nā, me whakaoti te whārite r=\frac{0±24000000\sqrt{15}i}{10000} ina he tāpiri te ±.

$$r=2400\sqrt{15}i$$

Nā, me whakaoti te whārite r=\frac{0±24000000\sqrt{15}i}{10000} ina he tango te ±.

$$r=-2400\sqrt{15}i$$

Kua oti te whārite te whakatau.

$$r=2400\sqrt{15}i r=-2400\sqrt{15}i$$