Whakaoti i te x^2+5*6=6

$$x ^ { 2 } + 5 \times 6 = 6$$

Whakaoti mō x (complex solution)

$$x=-2\sqrt{6}i\approx -0-4.898979486i$$

$$x=2\sqrt{6}i\approx 4.898979486i$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia te 5 ki te 6, ka 30.

$$x^{2}+30=6$$

Tangohia te 30 mai i ngā taha e rua.

$$x^{2}=6-30$$

Tangohia te 30 i te 6, ka -24.

$$x^{2}=-24$$

Kua oti te whārite te whakatau.

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

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia te 5 ki te 6, ka 30.

$$x^{2}+30=6$$

Tangohia te 6 mai i ngā taha e rua.

$$x^{2}+30-6=0$$

Tangohia te 6 i te 30, ka 24.

$$x^{2}+24=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me 24 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 24}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 24}}{2}$$

Whakareatia -4 ki te 24.

$$x=\frac{0±\sqrt{-96}}{2}$$

Tuhia te pūtakerua o te -96.

$$x=\frac{0±4\sqrt{6}i}{2}$$

Nā, me whakaoti te whārite x=\frac{0±4\sqrt{6}i}{2} ina he tāpiri te ±.

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

Nā, me whakaoti te whārite x=\frac{0±4\sqrt{6}i}{2} ina he tango te ±.

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

Kua oti te whārite te whakatau.

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