Whakaoti i te (2x)^2/32=308*10^-4

$$\frac { ( 2 x ) ^ { 2 } } { 32 } = 308 \times 10 ^ { - 4 }$$

Whakaoti mō x

$$x=\frac{\sqrt{154}}{25}\approx 0.496386946$$

$$x=-\frac{\sqrt{154}}{25}\approx -0.496386946$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia ngā taha e rua o te whārite ki te 32.

$$\left(2x\right)^{2}=9856\times 10^{-4}$$

Whakarohaina te \left(2x\right)^{2}.

$$2^{2}x^{2}=9856\times 10^{-4}$$

Tātaihia te 2 mā te pū o 2, kia riro ko 4.

$$4x^{2}=9856\times 10^{-4}$$

Tātaihia te 10 mā te pū o -4, kia riro ko \frac{1}{10000}.

$$4x^{2}=9856\times \frac{1}{10000}$$

Whakareatia te 9856 ki te \frac{1}{10000}, ka \frac{616}{625}.

$$4x^{2}=\frac{616}{625}$$

Whakawehea ngā taha e rua ki te 4.

$$x^{2}=\frac{\frac{616}{625}}{4}$$

Tuhia te \frac{\frac{616}{625}}{4} hei hautanga kotahi.

$$x^{2}=\frac{616}{625\times 4}$$

Whakareatia te 625 ki te 4, ka 2500.

$$x^{2}=\frac{616}{2500}$$

Whakahekea te hautanga \frac{616}{2500} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$x^{2}=\frac{154}{625}$$

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

$$x=\frac{\sqrt{154}}{25} x=-\frac{\sqrt{154}}{25}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia ngā taha e rua o te whārite ki te 32.

$$\left(2x\right)^{2}=9856\times 10^{-4}$$

Whakarohaina te \left(2x\right)^{2}.

$$2^{2}x^{2}=9856\times 10^{-4}$$

Tātaihia te 2 mā te pū o 2, kia riro ko 4.

$$4x^{2}=9856\times 10^{-4}$$

Tātaihia te 10 mā te pū o -4, kia riro ko \frac{1}{10000}.

$$4x^{2}=9856\times \frac{1}{10000}$$

Whakareatia te 9856 ki te \frac{1}{10000}, ka \frac{616}{625}.

$$4x^{2}=\frac{616}{625}$$

Tangohia te \frac{616}{625} mai i ngā taha e rua.

$$4x^{2}-\frac{616}{625}=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 4 mō a, 0 mō b, me -\frac{616}{625} mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 4\left(-\frac{616}{625}\right)}}{2\times 4}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 4\left(-\frac{616}{625}\right)}}{2\times 4}$$

Whakareatia -4 ki te 4.

$$x=\frac{0±\sqrt{-16\left(-\frac{616}{625}\right)}}{2\times 4}$$

Whakareatia -16 ki te -\frac{616}{625}.

$$x=\frac{0±\sqrt{\frac{9856}{625}}}{2\times 4}$$

Tuhia te pūtakerua o te \frac{9856}{625}.

$$x=\frac{0±\frac{8\sqrt{154}}{25}}{2\times 4}$$

Whakareatia 2 ki te 4.

$$x=\frac{0±\frac{8\sqrt{154}}{25}}{8}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{8\sqrt{154}}{25}}{8} ina he tāpiri te ±.

$$x=\frac{\sqrt{154}}{25}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{8\sqrt{154}}{25}}{8} ina he tango te ±.

$$x=-\frac{\sqrt{154}}{25}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{154}}{25} x=-\frac{\sqrt{154}}{25}$$