Whakaoti i te 314*x^2=81

$$314 \times x ^ { 2 } = 81$$

Whakaoti mō x

$$x=\frac{9\sqrt{314}}{314}\approx 0.507899383$$

$$x=-\frac{9\sqrt{314}}{314}\approx -0.507899383$$

Ngā Upane mā te Kimi Pūtakerua

Whakawehea ngā taha e rua ki te 314.

$$x^{2}=\frac{81}{314}$$

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

$$x=\frac{9\sqrt{314}}{314} x=-\frac{9\sqrt{314}}{314}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakawehea ngā taha e rua ki te 314.

$$x^{2}=\frac{81}{314}$$

Tangohia te \frac{81}{314} mai i ngā taha e rua.

$$x^{2}-\frac{81}{314}=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -\frac{81}{314} mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{81}{314}\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-\frac{81}{314}\right)}}{2}$$

Whakareatia -4 ki te -\frac{81}{314}.

$$x=\frac{0±\sqrt{\frac{162}{157}}}{2}$$

Tuhia te pūtakerua o te \frac{162}{157}.

$$x=\frac{0±\frac{9\sqrt{314}}{157}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{9\sqrt{314}}{157}}{2} ina he tāpiri te ±.

$$x=\frac{9\sqrt{314}}{314}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{9\sqrt{314}}{157}}{2} ina he tango te ±.

$$x=-\frac{9\sqrt{314}}{314}$$

Kua oti te whārite te whakatau.

$$x=\frac{9\sqrt{314}}{314} x=-\frac{9\sqrt{314}}{314}$$