Whakaoti i te x^2+17x+6

$$x ^ { 2 } + 17 x + 6$$

Tauwehe

$$\left(x-\frac{-\sqrt{265}-17}{2}\right)\left(x-\frac{\sqrt{265}-17}{2}\right)$$

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.

$$x^{2}+17x+6=0$$

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.

$$x=\frac{-17±\sqrt{17^{2}-4\times 6}}{2}$$

Pūrua 17.

$$x=\frac{-17±\sqrt{289-4\times 6}}{2}$$

Whakareatia -4 ki te 6.

$$x=\frac{-17±\sqrt{289-24}}{2}$$

Tāpiri 289 ki te -24.

$$x=\frac{-17±\sqrt{265}}{2}$$

Nā, me whakaoti te whārite x=\frac{-17±\sqrt{265}}{2} ina he tāpiri te ±. Tāpiri -17 ki te \sqrt{265}.

$$x=\frac{\sqrt{265}-17}{2}$$

Nā, me whakaoti te whārite x=\frac{-17±\sqrt{265}}{2} ina he tango te ±. Tango \sqrt{265} mai i -17.

$$x=\frac{-\sqrt{265}-17}{2}$$

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{-17+\sqrt{265}}{2} mō te x_{1} me te \frac{-17-\sqrt{265}}{2} mō te x_{2}.

$$x^{2}+17x+6=\left(x-\frac{\sqrt{265}-17}{2}\right)\left(x-\frac{-\sqrt{265}-17}{2}\right)$$

Aromātai

$$x^{2}+17x+6$$