Whakaoti i te x^4-11x^2+30=0

$$x ^ { 4 } - 11 x ^ { 2 } + 30 = 0$$

Whakaoti mō x

$$x=-\sqrt{6}\approx -2.449489743$$

$$x=\sqrt{6}\approx 2.449489743$$

$$x=\sqrt{5}\approx 2.236067977$$

$$x=-\sqrt{5}\approx -2.236067977$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakakapia te t mō te x^{2}.

$$t^{2}-11t+30=0$$

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 -11 mō te b, me te 30 mō te c i te ture pūrua.

$$t=\frac{-\left(-11\right)±\sqrt{\left(-11\right)^{2}-4\times 1\times 30}}{2}$$

Mahia ngā tātaitai.

$$t=\frac{11±1}{2}$$

Whakaotia te whārite t=\frac{11±1}{2} ina he tōrunga te ±, ina he tōraro te ±.

$$t=6 t=5$$

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

$$x=\sqrt{6} x=-\sqrt{6} x=\sqrt{5} x=-\sqrt{5}$$