Whakaoti i te 3.14*x^2=81

$$3.14 \times x ^ { 2 } = 81$$

Whakaoti mō x

$$x = \frac{45 \sqrt{314}}{157} \approx 5.078993832$$

$$x = -\frac{45 \sqrt{314}}{157} \approx -5.078993832$$

Ngā Upane mā te Kimi Pūtakerua

Whakawehea ngā taha e rua ki te 3.14.

$$x^{2}=\frac{81}{3.14}$$

Whakarohaina te \frac{81}{3.14} mā te whakarea i te taurunga me te tauraro ki te 100.

$$x^{2}=\frac{8100}{314}$$

Whakahekea te hautanga \frac{8100}{314} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x^{2}=\frac{4050}{157}$$

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

$$x=\frac{45\sqrt{314}}{157} x=-\frac{45\sqrt{314}}{157}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakawehea ngā taha e rua ki te 3.14.

$$x^{2}=\frac{81}{3.14}$$

Whakarohaina te \frac{81}{3.14} mā te whakarea i te taurunga me te tauraro ki te 100.

$$x^{2}=\frac{8100}{314}$$

Whakahekea te hautanga \frac{8100}{314} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x^{2}=\frac{4050}{157}$$

Tangohia te \frac{4050}{157} mai i ngā taha e rua.

$$x^{2}-\frac{4050}{157}=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -\frac{4050}{157} mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{4050}{157}\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-\frac{4050}{157}\right)}}{2}$$

Whakareatia -4 ki te -\frac{4050}{157}.

$$x=\frac{0±\sqrt{\frac{16200}{157}}}{2}$$

Tuhia te pūtakerua o te \frac{16200}{157}.

$$x=\frac{0±\frac{90\sqrt{314}}{157}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{90\sqrt{314}}{157}}{2} ina he tāpiri te ±.

$$x=\frac{45\sqrt{314}}{157}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{90\sqrt{314}}{157}}{2} ina he tango te ±.

$$x=-\frac{45\sqrt{314}}{157}$$

Kua oti te whārite te whakatau.

$$x=\frac{45\sqrt{314}}{157} x=-\frac{45\sqrt{314}}{157}$$