Whakaoti i te 4x^2=6

$$4 { x }^{ 2 } =6$$

Whakaoti mō x

$$x = \frac{\sqrt{6}}{2} \approx 1.224744871$$

$$x = -\frac{\sqrt{6}}{2} \approx -1.224744871$$

Ngā Upane mā te Kimi Pūtakerua

Whakawehea ngā taha e rua ki te 4.

$$x^{2}=\frac{6}{4}$$

Whakahekea te hautanga \frac{6}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

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

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

$$x=\frac{\sqrt{6}}{2} x=-\frac{\sqrt{6}}{2}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakawehea ngā taha e rua ki te 4.

$$x^{2}=\frac{6}{4}$$

Whakahekea te hautanga \frac{6}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

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

Tangohia te \frac{3}{2} mai i ngā taha e rua.

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

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

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

Pūrua 0.

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

Whakareatia -4 ki te -\frac{3}{2}.

$$x=\frac{0±\sqrt{6}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±\sqrt{6}}{2} ina he tāpiri te ±.

$$x=\frac{\sqrt{6}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±\sqrt{6}}{2} ina he tango te ±.

$$x=-\frac{\sqrt{6}}{2}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{6}}{2} x=-\frac{\sqrt{6}}{2}$$