Whakaoti i te 5m^4+13m^2-6=0

$$5 m ^ { 4 } + 13 m ^ { 2 } - 6 = 0$$

Whakaoti mō m (complex solution)

$$m=\frac{\sqrt{10}}{5}\approx 0.632455532$$

$$m=-\frac{\sqrt{10}}{5}\approx -0.632455532$$

$$m=-\sqrt{3}i\approx -0-1.732050808i$$

$$m=\sqrt{3}i\approx 1.732050808i$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakakapia te t mō te m^{2}.

$$5t^{2}+13t-6=0$$

Ka taea ngā whārite katoa o te momo ax^{2}+bx+c=0 te whakaoti mā te ture pūrua: \frac{-b±\sqrt{b^{2}-4ac}}{2a}. Whakakapia te 5 mō te a, te 13 mō te b, me te -6 mō te c i te ture pūrua.

$$t=\frac{-13±\sqrt{13^{2}-4\times 5\left(-6\right)}}{2\times 5}$$

Mahia ngā tātaitai.

$$t=\frac{-13±17}{10}$$

Whakaotia te whārite t=\frac{-13±17}{10} ina he tōrunga te ±, ina he tōraro te ±.

$$t=\frac{2}{5} t=-3$$

I te mea ko m=t^{2}, ka riro ngā otinga mā te arotake i te m=±\sqrt{t} mō ia t.

$$m=-\frac{\sqrt{10}}{5} m=\frac{\sqrt{10}}{5} m=-\sqrt{3}i m=\sqrt{3}i$$

Whakaoti mō m

$$m=-\frac{\sqrt{10}}{5}\approx -0.632455532$$

$$m=\frac{\sqrt{10}}{5}\approx 0.632455532$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakakapia te t mō te m^{2}.

$$5t^{2}+13t-6=0$$

Ka taea ngā whārite katoa o te momo ax^{2}+bx+c=0 te whakaoti mā te ture pūrua: \frac{-b±\sqrt{b^{2}-4ac}}{2a}. Whakakapia te 5 mō te a, te 13 mō te b, me te -6 mō te c i te ture pūrua.

$$t=\frac{-13±\sqrt{13^{2}-4\times 5\left(-6\right)}}{2\times 5}$$

Mahia ngā tātaitai.

$$t=\frac{-13±17}{10}$$

Whakaotia te whārite t=\frac{-13±17}{10} ina he tōrunga te ±, ina he tōraro te ±.

$$t=\frac{2}{5} t=-3$$

I te mea ko m=t^{2}, ka riro ngā otinga mā te arotake i te m=±\sqrt{t} mō t tōrunga.

$$m=\frac{\sqrt{10}}{5} m=-\frac{\sqrt{10}}{5}$$