Whakaoti i te 6x^2=31

$$6 x ^ { 2 } = 31$$

Whakaoti mō x

$$x = \frac{\sqrt{186}}{6} \approx 2.273030283$$

$$x = -\frac{\sqrt{186}}{6} \approx -2.273030283$$

Ngā Upane mā te Kimi Pūtakerua

Whakawehea ngā taha e rua ki te 6.

$$x^{2}=\frac{31}{6}$$

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

$$x=\frac{\sqrt{186}}{6} x=-\frac{\sqrt{186}}{6}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakawehea ngā taha e rua ki te 6.

$$x^{2}=\frac{31}{6}$$

Tangohia te \frac{31}{6} mai i ngā taha e rua.

$$x^{2}-\frac{31}{6}=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -\frac{31}{6} mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{31}{6}\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-\frac{31}{6}\right)}}{2}$$

Whakareatia -4 ki te -\frac{31}{6}.

$$x=\frac{0±\sqrt{\frac{62}{3}}}{2}$$

Tuhia te pūtakerua o te \frac{62}{3}.

$$x=\frac{0±\frac{\sqrt{186}}{3}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{\sqrt{186}}{3}}{2} ina he tāpiri te ±.

$$x=\frac{\sqrt{186}}{6}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{\sqrt{186}}{3}}{2} ina he tango te ±.

$$x=-\frac{\sqrt{186}}{6}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{186}}{6} x=-\frac{\sqrt{186}}{6}$$