Whakaoti i te 2s^2+4=0

$$2 s ^ { 2 } + 4 = 0$$

Whakaoti mō s

$$s=-\sqrt{2}i\approx -0-1.414213562i$$

$$s=\sqrt{2}i\approx 1.414213562i$$

Ngā Upane mā te Kimi Pūtakerua

Tangohia te 4 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$2s^{2}=-4$$

Whakawehea ngā taha e rua ki te 2.

$$s^{2}=\frac{-4}{2}$$

Whakawehea te -4 ki te 2, kia riro ko -2.

$$s^{2}=-2$$

Kua oti te whārite te whakatau.

$$s=\sqrt{2}i s=-\sqrt{2}i$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Ko ngā tikanga tātai pūrua pēnei i tēnei nā, me te kīanga tau x^{2} engari kāore he kīanga tau x, ka taea tonu te whakaoti mā te whakamahi i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, ina tuhia ki te tānga ngahuru: ax^{2}+bx+c=0.

$$2s^{2}+4=0$$

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

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

Pūrua 0.

$$s=\frac{0±\sqrt{-4\times 2\times 4}}{2\times 2}$$

Whakareatia -4 ki te 2.

$$s=\frac{0±\sqrt{-8\times 4}}{2\times 2}$$

Whakareatia -8 ki te 4.

$$s=\frac{0±\sqrt{-32}}{2\times 2}$$

Tuhia te pūtakerua o te -32.

$$s=\frac{0±4\sqrt{2}i}{2\times 2}$$

Whakareatia 2 ki te 2.

$$s=\frac{0±4\sqrt{2}i}{4}$$

Nā, me whakaoti te whārite s=\frac{0±4\sqrt{2}i}{4} ina he tāpiri te ±.

$$s=\sqrt{2}i$$

Nā, me whakaoti te whārite s=\frac{0±4\sqrt{2}i}{4} ina he tango te ±.

$$s=-\sqrt{2}i$$

Kua oti te whārite te whakatau.

$$s=\sqrt{2}i s=-\sqrt{2}i$$