Whakaoti i te 4y^4+7y^2-36=0

$$4 y ^ { 4 } + 7 y ^ { 2 } - 36 = 0$$

Whakaoti mō y (complex solution)

$$y = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

$$y = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

$$y=-2i$$

$$y=2i$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakakapia te t mō te y^{2}.

$$4t^{2}+7t-36=0$$

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 4 mō te a, te 7 mō te b, me te -36 mō te c i te ture pūrua.

$$t=\frac{-7±\sqrt{7^{2}-4\times 4\left(-36\right)}}{2\times 4}$$

Mahia ngā tātaitai.

$$t=\frac{-7±25}{8}$$

Whakaotia te whārite t=\frac{-7±25}{8} ina he tōrunga te ±, ina he tōraro te ±.

$$t=\frac{9}{4} t=-4$$

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

$$y=-\frac{3}{2} y=\frac{3}{2} y=-2i y=2i$$

Whakaoti mō y

$$y = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

$$y = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakakapia te t mō te y^{2}.

$$4t^{2}+7t-36=0$$

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 4 mō te a, te 7 mō te b, me te -36 mō te c i te ture pūrua.

$$t=\frac{-7±\sqrt{7^{2}-4\times 4\left(-36\right)}}{2\times 4}$$

Mahia ngā tātaitai.

$$t=\frac{-7±25}{8}$$

Whakaotia te whārite t=\frac{-7±25}{8} ina he tōrunga te ±, ina he tōraro te ±.

$$t=\frac{9}{4} t=-4$$

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

$$y=\frac{3}{2} y=-\frac{3}{2}$$