Whakaoti i te 7x^2=-48

$$7 x ^ { 2 } = - 48$$

Whakaoti mō x (complex solution)

$$x=-\frac{4\sqrt{21}i}{7}\approx -0-2.618614683i$$

$$x=\frac{4\sqrt{21}i}{7}\approx 2.618614683i$$

Ngā Upane mā te Kimi Pūtakerua

Whakawehea ngā taha e rua ki te 7.

$$x^{2}=-\frac{48}{7}$$

Kua oti te whārite te whakatau.

$$x=\frac{4\sqrt{21}i}{7} x=-\frac{4\sqrt{21}i}{7}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakawehea ngā taha e rua ki te 7.

$$x^{2}=-\frac{48}{7}$$

Me tāpiri te \frac{48}{7} ki ngā taha e rua.

$$x^{2}+\frac{48}{7}=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me \frac{48}{7} mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times \frac{48}{7}}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times \frac{48}{7}}}{2}$$

Whakareatia -4 ki te \frac{48}{7}.

$$x=\frac{0±\sqrt{-\frac{192}{7}}}{2}$$

Tuhia te pūtakerua o te -\frac{192}{7}.

$$x=\frac{0±\frac{8\sqrt{21}i}{7}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{8\sqrt{21}i}{7}}{2} ina he tāpiri te ±.

$$x=\frac{4\sqrt{21}i}{7}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{8\sqrt{21}i}{7}}{2} ina he tango te ±.

$$x=-\frac{4\sqrt{21}i}{7}$$

Kua oti te whārite te whakatau.

$$x=\frac{4\sqrt{21}i}{7} x=-\frac{4\sqrt{21}i}{7}$$