Whakaoti i te 6c^2=-18

$$6 c ^ { 2 } = - 18$$

Whakaoti mō c

$$c=-\sqrt{3}i\approx -0-1.732050808i$$

$$c=\sqrt{3}i\approx 1.732050808i$$

Ngā Upane mā te Kimi Pūtakerua

Whakawehea ngā taha e rua ki te 6.

$$c^{2}=\frac{-18}{6}$$

Whakawehea te -18 ki te 6, kia riro ko -3.

$$c^{2}=-3$$

Kua oti te whārite te whakatau.

$$c=\sqrt{3}i c=-\sqrt{3}i$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakawehea ngā taha e rua ki te 6.

$$c^{2}=\frac{-18}{6}$$

Whakawehea te -18 ki te 6, kia riro ko -3.

$$c^{2}=-3$$

Me tāpiri te 3 ki ngā taha e rua.

$$c^{2}+3=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me 3 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$c=\frac{0±\sqrt{0^{2}-4\times 3}}{2}$$

Pūrua 0.

$$c=\frac{0±\sqrt{-4\times 3}}{2}$$

Whakareatia -4 ki te 3.

$$c=\frac{0±\sqrt{-12}}{2}$$

Tuhia te pūtakerua o te -12.

$$c=\frac{0±2\sqrt{3}i}{2}$$

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

$$c=\sqrt{3}i$$

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

$$c=-\sqrt{3}i$$

Kua oti te whārite te whakatau.

$$c=\sqrt{3}i c=-\sqrt{3}i$$