Whakaoti i te 21*10^-3=9*10^9*x^2/{left(15*10^-3right)^2}

$$21 \times { 10 }^{ -3 } = \frac{ 9 \times { 10 }^{ 9 } \times { x }^{ 2 } }{ { \left(15 \times { 10 }^{ -3 } \right) }^{ 2 } }$$

Whakaoti mō x

$$x=\frac{\sqrt{21}}{200000000}\approx 0.000000023$$

$$x=-\frac{\sqrt{21}}{200000000}\approx -0.000000023$$

Ngā Upane mā te Kimi Pūtakerua

Tātaihia te 10 mā te pū o -3, kia riro ko \frac{1}{1000}.

$$21\times \frac{1}{1000}=\frac{9\times 10^{9}x^{2}}{\left(15\times 10^{-3}\right)^{2}}$$

Whakareatia te 21 ki te \frac{1}{1000}, ka \frac{21}{1000}.

$$\frac{21}{1000}=\frac{9\times 10^{9}x^{2}}{\left(15\times 10^{-3}\right)^{2}}$$

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

$$\frac{21}{1000}=\frac{9\times 1000000000x^{2}}{\left(15\times 10^{-3}\right)^{2}}$$

Whakareatia te 9 ki te 1000000000, ka 9000000000.

$$\frac{21}{1000}=\frac{9000000000x^{2}}{\left(15\times 10^{-3}\right)^{2}}$$

Tātaihia te 10 mā te pū o -3, kia riro ko \frac{1}{1000}.

$$\frac{21}{1000}=\frac{9000000000x^{2}}{\left(15\times \frac{1}{1000}\right)^{2}}$$

Whakareatia te 15 ki te \frac{1}{1000}, ka \frac{3}{200}.

$$\frac{21}{1000}=\frac{9000000000x^{2}}{\left(\frac{3}{200}\right)^{2}}$$

Tātaihia te \frac{3}{200} mā te pū o 2, kia riro ko \frac{9}{40000}.

$$\frac{21}{1000}=\frac{9000000000x^{2}}{\frac{9}{40000}}$$

Whakawehea te 9000000000x^{2} ki te \frac{9}{40000}, kia riro ko 40000000000000x^{2}.

$$\frac{21}{1000}=40000000000000x^{2}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$40000000000000x^{2}=\frac{21}{1000}$$

Whakawehea ngā taha e rua ki te 40000000000000.

$$x^{2}=\frac{\frac{21}{1000}}{40000000000000}$$

Tuhia te \frac{\frac{21}{1000}}{40000000000000} hei hautanga kotahi.

$$x^{2}=\frac{21}{1000\times 40000000000000}$$

Whakareatia te 1000 ki te 40000000000000, ka 40000000000000000.

$$x^{2}=\frac{21}{40000000000000000}$$

Tuhia te pūtakerua o ngā taha e rua o te whārite.

$$x=\frac{\sqrt{21}}{200000000} x=-\frac{\sqrt{21}}{200000000}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tātaihia te 10 mā te pū o -3, kia riro ko \frac{1}{1000}.

$$21\times \frac{1}{1000}=\frac{9\times 10^{9}x^{2}}{\left(15\times 10^{-3}\right)^{2}}$$

Whakareatia te 21 ki te \frac{1}{1000}, ka \frac{21}{1000}.

$$\frac{21}{1000}=\frac{9\times 10^{9}x^{2}}{\left(15\times 10^{-3}\right)^{2}}$$

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

$$\frac{21}{1000}=\frac{9\times 1000000000x^{2}}{\left(15\times 10^{-3}\right)^{2}}$$

Whakareatia te 9 ki te 1000000000, ka 9000000000.

$$\frac{21}{1000}=\frac{9000000000x^{2}}{\left(15\times 10^{-3}\right)^{2}}$$

Tātaihia te 10 mā te pū o -3, kia riro ko \frac{1}{1000}.

$$\frac{21}{1000}=\frac{9000000000x^{2}}{\left(15\times \frac{1}{1000}\right)^{2}}$$

Whakareatia te 15 ki te \frac{1}{1000}, ka \frac{3}{200}.

$$\frac{21}{1000}=\frac{9000000000x^{2}}{\left(\frac{3}{200}\right)^{2}}$$

Tātaihia te \frac{3}{200} mā te pū o 2, kia riro ko \frac{9}{40000}.

$$\frac{21}{1000}=\frac{9000000000x^{2}}{\frac{9}{40000}}$$

Whakawehea te 9000000000x^{2} ki te \frac{9}{40000}, kia riro ko 40000000000000x^{2}.

$$\frac{21}{1000}=40000000000000x^{2}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$40000000000000x^{2}=\frac{21}{1000}$$

Tangohia te \frac{21}{1000} mai i ngā taha e rua.

$$40000000000000x^{2}-\frac{21}{1000}=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 40000000000000 mō a, 0 mō b, me -\frac{21}{1000} mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 40000000000000\left(-\frac{21}{1000}\right)}}{2\times 40000000000000}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 40000000000000\left(-\frac{21}{1000}\right)}}{2\times 40000000000000}$$

Whakareatia -4 ki te 40000000000000.

$$x=\frac{0±\sqrt{-160000000000000\left(-\frac{21}{1000}\right)}}{2\times 40000000000000}$$

Whakareatia -160000000000000 ki te -\frac{21}{1000}.

$$x=\frac{0±\sqrt{3360000000000}}{2\times 40000000000000}$$

Tuhia te pūtakerua o te 3360000000000.

$$x=\frac{0±400000\sqrt{21}}{2\times 40000000000000}$$

Whakareatia 2 ki te 40000000000000.

$$x=\frac{0±400000\sqrt{21}}{80000000000000}$$

Nā, me whakaoti te whārite x=\frac{0±400000\sqrt{21}}{80000000000000} ina he tāpiri te ±.

$$x=\frac{\sqrt{21}}{200000000}$$

Nā, me whakaoti te whārite x=\frac{0±400000\sqrt{21}}{80000000000000} ina he tango te ±.

$$x=-\frac{\sqrt{21}}{200000000}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{21}}{200000000} x=-\frac{\sqrt{21}}{200000000}$$