Whakaoti i te x^2-215x+3

$$x ^ { 2 } - 215 x + 3$$

Tauwehe

$$\left(x-\frac{215-\sqrt{46213}}{2}\right)\left(x-\frac{\sqrt{46213}+215}{2}\right)$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Ka taea te huamaha pūrua te tauwehe mā te whakamahi i te huringa ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right), ina ko x_{1} me x_{2} ngā otinga o te whārite pūrua ax^{2}+bx+c=0.

$$x^{2}-215x+3=0$$

Ko ngā whārite katoa o te āhua ax^{2}+bx+c=0 ka taea te whakaoti mā te whakamahi i te tikanga tātai pūrua: \frac{-b±\sqrt{b^{2}-4ac}}{2a}. E rua ngā otinga ka puta i te tikanga tātai pūrua, ko tētahi ina he tāpiri a ±, ā, ko tētahi ina he tango.

$$x=\frac{-\left(-215\right)±\sqrt{\left(-215\right)^{2}-4\times 3}}{2}$$

Pūrua -215.

$$x=\frac{-\left(-215\right)±\sqrt{46225-4\times 3}}{2}$$

Whakareatia -4 ki te 3.

$$x=\frac{-\left(-215\right)±\sqrt{46225-12}}{2}$$

Tāpiri 46225 ki te -12.

$$x=\frac{-\left(-215\right)±\sqrt{46213}}{2}$$

Ko te tauaro o -215 ko 215.

$$x=\frac{215±\sqrt{46213}}{2}$$

Nā, me whakaoti te whārite x=\frac{215±\sqrt{46213}}{2} ina he tāpiri te ±. Tāpiri 215 ki te \sqrt{46213}.

$$x=\frac{\sqrt{46213}+215}{2}$$

Nā, me whakaoti te whārite x=\frac{215±\sqrt{46213}}{2} ina he tango te ±. Tango \sqrt{46213} mai i 215.

$$x=\frac{215-\sqrt{46213}}{2}$$

Tauwehea te kīanga taketake mā te whakamahi i te ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right). Me whakakapi te \frac{215+\sqrt{46213}}{2} mō te x_{1} me te \frac{215-\sqrt{46213}}{2} mō te x_{2}.

$$x^{2}-215x+3=\left(x-\frac{\sqrt{46213}+215}{2}\right)\left(x-\frac{215-\sqrt{46213}}{2}\right)$$

Aromātai

$$x^{2}-215x+3$$