Whakaoti i te y^2=-7

$${ y }^{ 2 } = -7$$

Whakaoti mō y

$$y=-\sqrt{7}i\approx -0-2.645751311i$$

$$y=\sqrt{7}i\approx 2.645751311i$$

Ngā Upane mā te Kimi Pūtakerua

Kua oti te whārite te whakatau.

$$y=\sqrt{7}i y=-\sqrt{7}i$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Me tāpiri te 7 ki ngā taha e rua.

$$y^{2}+7=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me 7 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$y=\frac{0±\sqrt{0^{2}-4\times 7}}{2}$$

Pūrua 0.

$$y=\frac{0±\sqrt{-4\times 7}}{2}$$

Whakareatia -4 ki te 7.

$$y=\frac{0±\sqrt{-28}}{2}$$

Tuhia te pūtakerua o te -28.

$$y=\frac{0±2\sqrt{7}i}{2}$$

Nā, me whakaoti te whārite y=\frac{0±2\sqrt{7}i}{2} ina he tāpiri te ±.

$$y=\sqrt{7}i$$

Nā, me whakaoti te whārite y=\frac{0±2\sqrt{7}i}{2} ina he tango te ±.

$$y=-\sqrt{7}i$$

Kua oti te whārite te whakatau.

$$y=\sqrt{7}i y=-\sqrt{7}i$$