Whakaoti i te 3x^2=4

$$3 x ^ { 2 } = 4$$

Whakaoti mō x

$$x = \frac{2 \sqrt{3}}{3} \approx 1.154700538$$

$$x = -\frac{2 \sqrt{3}}{3} \approx -1.154700538$$

Ngā Upane mā te Kimi Pūtakerua

Whakawehea ngā taha e rua ki te 3.

$$x^{2}=\frac{4}{3}$$

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

$$x=\frac{2\sqrt{3}}{3} x=-\frac{2\sqrt{3}}{3}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakawehea ngā taha e rua ki te 3.

$$x^{2}=\frac{4}{3}$$

Tangohia te \frac{4}{3} mai i ngā taha e rua.

$$x^{2}-\frac{4}{3}=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -\frac{4}{3} mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{4}{3}\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-\frac{4}{3}\right)}}{2}$$

Whakareatia -4 ki te -\frac{4}{3}.

$$x=\frac{0±\sqrt{\frac{16}{3}}}{2}$$

Tuhia te pūtakerua o te \frac{16}{3}.

$$x=\frac{0±\frac{4\sqrt{3}}{3}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{4\sqrt{3}}{3}}{2} ina he tāpiri te ±.

$$x=\frac{2\sqrt{3}}{3}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{4\sqrt{3}}{3}}{2} ina he tango te ±.

$$x=-\frac{2\sqrt{3}}{3}$$

Kua oti te whārite te whakatau.

$$x=\frac{2\sqrt{3}}{3} x=-\frac{2\sqrt{3}}{3}$$