Whakaoti i te z^2=-6

$$z ^ { 2 } = - 6$$

Whakaoti mō z

$$z=-\sqrt{6}i\approx -0-2.449489743i$$

$$z=\sqrt{6}i\approx 2.449489743i$$

Ngā Upane mā te Kimi Pūtakerua

Kua oti te whārite te whakatau.

$$z=\sqrt{6}i z=-\sqrt{6}i$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Me tāpiri te 6 ki ngā taha e rua.

$$z^{2}+6=0$$

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

$$z=\frac{0±\sqrt{0^{2}-4\times 6}}{2}$$

Pūrua 0.

$$z=\frac{0±\sqrt{-4\times 6}}{2}$$

Whakareatia -4 ki te 6.

$$z=\frac{0±\sqrt{-24}}{2}$$

Tuhia te pūtakerua o te -24.

$$z=\frac{0±2\sqrt{6}i}{2}$$

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

$$z=\sqrt{6}i$$

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

$$z=-\sqrt{6}i$$

Kua oti te whārite te whakatau.

$$z=\sqrt{6}i z=-\sqrt{6}i$$