Whakaoti i te b^4-29b^2-96=0

$${ b }^{ 4 } -29 { b }^{ 2 } -96 = 0$$

Whakaoti mō b (complex solution)

$$b=4\sqrt{2}\approx 5.656854249$$

$$b=-4\sqrt{2}\approx -5.656854249$$

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

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

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakakapia te t mō te b^{2}.

$$t^{2}-29t-96=0$$

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 1 mō te a, te -29 mō te b, me te -96 mō te c i te ture pūrua.

$$t=\frac{-\left(-29\right)±\sqrt{\left(-29\right)^{2}-4\times 1\left(-96\right)}}{2}$$

Mahia ngā tātaitai.

$$t=\frac{29±35}{2}$$

Whakaotia te whārite t=\frac{29±35}{2} ina he tōrunga te ±, ina he tōraro te ±.

$$t=32 t=-3$$

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

$$b=-4\sqrt{2} b=4\sqrt{2} b=-\sqrt{3}i b=\sqrt{3}i$$

Whakaoti mō b

$$b=-4\sqrt{2}\approx -5.656854249$$

$$b=4\sqrt{2}\approx 5.656854249$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakakapia te t mō te b^{2}.

$$t^{2}-29t-96=0$$

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 1 mō te a, te -29 mō te b, me te -96 mō te c i te ture pūrua.

$$t=\frac{-\left(-29\right)±\sqrt{\left(-29\right)^{2}-4\times 1\left(-96\right)}}{2}$$

Mahia ngā tātaitai.

$$t=\frac{29±35}{2}$$

Whakaotia te whārite t=\frac{29±35}{2} ina he tōrunga te ±, ina he tōraro te ±.

$$t=32 t=-3$$

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

$$b=4\sqrt{2} b=-4\sqrt{2}$$