Whakaoti i te X*X=-72

$$X \cdot X = - 72$$

Whakaoti mō X

$$X=-6\sqrt{2}i\approx -0-8.485281374i$$

$$X=6\sqrt{2}i\approx 8.485281374i$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia te X ki te X, ka X^{2}.

$$X^{2}=-72$$

Kua oti te whārite te whakatau.

$$X=6\sqrt{2}i X=-6\sqrt{2}i$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia te X ki te X, ka X^{2}.

$$X^{2}=-72$$

Me tāpiri te 72 ki ngā taha e rua.

$$X^{2}+72=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me 72 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$X=\frac{0±\sqrt{0^{2}-4\times 72}}{2}$$

Pūrua 0.

$$X=\frac{0±\sqrt{-4\times 72}}{2}$$

Whakareatia -4 ki te 72.

$$X=\frac{0±\sqrt{-288}}{2}$$

Tuhia te pūtakerua o te -288.

$$X=\frac{0±12\sqrt{2}i}{2}$$

Nā, me whakaoti te whārite X=\frac{0±12\sqrt{2}i}{2} ina he tāpiri te ±.

$$X=6\sqrt{2}i$$

Nā, me whakaoti te whārite X=\frac{0±12\sqrt{2}i}{2} ina he tango te ±.

$$X=-6\sqrt{2}i$$

Kua oti te whārite te whakatau.

$$X=6\sqrt{2}i X=-6\sqrt{2}i$$