Whakaoti i te 2n^2=-144

$$2 n ^ { 2 } = - 144$$

Whakaoti mō n

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

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

Ngā Upane mā te Kimi Pūtakerua

Whakawehea ngā taha e rua ki te 2.

$$n^{2}=\frac{-144}{2}$$

Whakawehea te -144 ki te 2, kia riro ko -72.

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

Kua oti te whārite te whakatau.

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

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakawehea ngā taha e rua ki te 2.

$$n^{2}=\frac{-144}{2}$$

Whakawehea te -144 ki te 2, kia riro ko -72.

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

Me tāpiri te 72 ki ngā taha e rua.

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

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}.

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

Pūrua 0.

$$n=\frac{0±\sqrt{-4\times 72}}{2}$$

Whakareatia -4 ki te 72.

$$n=\frac{0±\sqrt{-288}}{2}$$

Tuhia te pūtakerua o te -288.

$$n=\frac{0±12\sqrt{2}i}{2}$$

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

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

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

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

Kua oti te whārite te whakatau.

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