Whakaoti i te x^2-37x+56

$$x ^ { 2 } - 37 x + 56$$

Tauwehe

$$\left(x-\frac{37-\sqrt{1145}}{2}\right)\left(x-\frac{\sqrt{1145}+37}{2}\right)$$

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.

$$x^{2}-37x+56=0$$

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.

$$x=\frac{-\left(-37\right)±\sqrt{\left(-37\right)^{2}-4\times 56}}{2}$$

Pūrua -37.

$$x=\frac{-\left(-37\right)±\sqrt{1369-4\times 56}}{2}$$

Whakareatia -4 ki te 56.

$$x=\frac{-\left(-37\right)±\sqrt{1369-224}}{2}$$

Tāpiri 1369 ki te -224.

$$x=\frac{-\left(-37\right)±\sqrt{1145}}{2}$$

Ko te tauaro o -37 ko 37.

$$x=\frac{37±\sqrt{1145}}{2}$$

Nā, me whakaoti te whārite x=\frac{37±\sqrt{1145}}{2} ina he tāpiri te ±. Tāpiri 37 ki te \sqrt{1145}.

$$x=\frac{\sqrt{1145}+37}{2}$$

Nā, me whakaoti te whārite x=\frac{37±\sqrt{1145}}{2} ina he tango te ±. Tango \sqrt{1145} mai i 37.

$$x=\frac{37-\sqrt{1145}}{2}$$

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{37+\sqrt{1145}}{2} mō te x_{1} me te \frac{37-\sqrt{1145}}{2} mō te x_{2}.

$$x^{2}-37x+56=\left(x-\frac{\sqrt{1145}+37}{2}\right)\left(x-\frac{37-\sqrt{1145}}{2}\right)$$

Aromātai

$$x^{2}-37x+56$$