Whakaoti i te 4x^2=3*10000

$$4 { x }^{ 2 } = 3 \cdot 10000$$

Whakaoti mō x

$$x=50\sqrt{3}\approx 86.602540378$$

$$x=-50\sqrt{3}\approx -86.602540378$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia te 3 ki te 10000, ka 30000.

$$4x^{2}=30000$$

Whakawehea ngā taha e rua ki te 4.

$$x^{2}=\frac{30000}{4}$$

Whakawehea te 30000 ki te 4, kia riro ko 7500.

$$x^{2}=7500$$

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

$$x=50\sqrt{3} x=-50\sqrt{3}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia te 3 ki te 10000, ka 30000.

$$4x^{2}=30000$$

Tangohia te 30000 mai i ngā taha e rua.

$$4x^{2}-30000=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 4 mō a, 0 mō b, me -30000 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 4\left(-30000\right)}}{2\times 4}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 4\left(-30000\right)}}{2\times 4}$$

Whakareatia -4 ki te 4.

$$x=\frac{0±\sqrt{-16\left(-30000\right)}}{2\times 4}$$

Whakareatia -16 ki te -30000.

$$x=\frac{0±\sqrt{480000}}{2\times 4}$$

Tuhia te pūtakerua o te 480000.

$$x=\frac{0±400\sqrt{3}}{2\times 4}$$

Whakareatia 2 ki te 4.

$$x=\frac{0±400\sqrt{3}}{8}$$

Nā, me whakaoti te whārite x=\frac{0±400\sqrt{3}}{8} ina he tāpiri te ±.

$$x=50\sqrt{3}$$

Nā, me whakaoti te whārite x=\frac{0±400\sqrt{3}}{8} ina he tango te ±.

$$x=-50\sqrt{3}$$

Kua oti te whārite te whakatau.

$$x=50\sqrt{3} x=-50\sqrt{3}$$