Whakaoti i te x^2=3.14

$${ x }^{ 2 } =3.14$$

Whakaoti mō x

$$x = \frac{\sqrt{314}}{10} \approx 1.772004515$$

$$x = -\frac{\sqrt{314}}{10} \approx -1.772004515$$

Ngā Upane mā te Kimi Pūtakerua

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

$$x=\frac{\sqrt{314}}{10} x=-\frac{\sqrt{314}}{10}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 3.14 mai i ngā taha e rua.

$$x^{2}-3.14=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -3.14 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-3.14\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-3.14\right)}}{2}$$

Whakareatia -4 ki te -3.14.

$$x=\frac{0±\sqrt{12.56}}{2}$$

Tuhia te pūtakerua o te 12.56.

$$x=\frac{0±\frac{\sqrt{314}}{5}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{\sqrt{314}}{5}}{2} ina he tāpiri te ±.

$$x=\frac{\sqrt{314}}{10}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{\sqrt{314}}{5}}{2} ina he tango te ±.

$$x=-\frac{\sqrt{314}}{10}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{314}}{10} x=-\frac{\sqrt{314}}{10}$$