Whakaoti i te 921m^2+11m-2

$$921 m ^ { 2 } + 11 m - 2$$

Tauwehe

$$921\left(m-\frac{-\sqrt{7489}-11}{1842}\right)\left(m-\frac{\sqrt{7489}-11}{1842}\right)$$

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.

$$921m^{2}+11m-2=0$$

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.

$$m=\frac{-11±\sqrt{11^{2}-4\times 921\left(-2\right)}}{2\times 921}$$

Pūrua 11.

$$m=\frac{-11±\sqrt{121-4\times 921\left(-2\right)}}{2\times 921}$$

Whakareatia -4 ki te 921.

$$m=\frac{-11±\sqrt{121-3684\left(-2\right)}}{2\times 921}$$

Whakareatia -3684 ki te -2.

$$m=\frac{-11±\sqrt{121+7368}}{2\times 921}$$

Tāpiri 121 ki te 7368.

$$m=\frac{-11±\sqrt{7489}}{2\times 921}$$

Whakareatia 2 ki te 921.

$$m=\frac{-11±\sqrt{7489}}{1842}$$

Nā, me whakaoti te whārite m=\frac{-11±\sqrt{7489}}{1842} ina he tāpiri te ±. Tāpiri -11 ki te \sqrt{7489}.

$$m=\frac{\sqrt{7489}-11}{1842}$$

Nā, me whakaoti te whārite m=\frac{-11±\sqrt{7489}}{1842} ina he tango te ±. Tango \sqrt{7489} mai i -11.

$$m=\frac{-\sqrt{7489}-11}{1842}$$

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{-11+\sqrt{7489}}{1842} mō te x_{1} me te \frac{-11-\sqrt{7489}}{1842} mō te x_{2}.

$$921m^{2}+11m-2=921\left(m-\frac{\sqrt{7489}-11}{1842}\right)\left(m-\frac{-\sqrt{7489}-11}{1842}\right)$$

Aromātai

$$921m^{2}+11m-2$$