Whakaoti i te x^2+09x+66=0

$$x ^ { 2 } + 09 x + 66 = 0$$

Whakaoti mō x (complex solution)

$$x=-\sqrt{66}i\approx -0-8.124038405i$$

$$x=\sqrt{66}i\approx 8.124038405i$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Ko ngā whārite katoa o te āhua ax^{2}+bx+c=0 ka taea te whakaoti mā te whakamahi i te tikanga tātai pūrua: \frac{-b±\sqrt{b^{2}-4ac}}{2a}. E rua ngā otinga ka puta i te tikanga tātai pūrua, ko tētahi ina he tāpiri a ±, ā, ko tētahi ina he tango.

$$x^{2}+66=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me 66 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 66}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 66}}{2}$$

Whakareatia -4 ki te 66.

$$x=\frac{0±\sqrt{-264}}{2}$$

Tuhia te pūtakerua o te -264.

$$x=\frac{0±2\sqrt{66}i}{2}$$

Nā, me whakaoti te whārite x=\frac{0±2\sqrt{66}i}{2} ina he tāpiri te ±.

$$x=\sqrt{66}i$$

Nā, me whakaoti te whārite x=\frac{0±2\sqrt{66}i}{2} ina he tango te ±.

$$x=-\sqrt{66}i$$

Kua oti te whārite te whakatau.

$$x=\sqrt{66}i x=-\sqrt{66}i$$