Whakaoti i te 2x^2-29x-36=

$$2 x ^ { 2 } - 29 x - 36 =$$

Tauwehe

$$2\left(x-\frac{29-\sqrt{1129}}{4}\right)\left(x-\frac{\sqrt{1129}+29}{4}\right)$$

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.

$$2x^{2}-29x-36=0$$

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.

$$x=\frac{-\left(-29\right)±\sqrt{\left(-29\right)^{2}-4\times 2\left(-36\right)}}{2\times 2}$$

Pūrua -29.

$$x=\frac{-\left(-29\right)±\sqrt{841-4\times 2\left(-36\right)}}{2\times 2}$$

Whakareatia -4 ki te 2.

$$x=\frac{-\left(-29\right)±\sqrt{841-8\left(-36\right)}}{2\times 2}$$

Whakareatia -8 ki te -36.

$$x=\frac{-\left(-29\right)±\sqrt{841+288}}{2\times 2}$$

Tāpiri 841 ki te 288.

$$x=\frac{-\left(-29\right)±\sqrt{1129}}{2\times 2}$$

Ko te tauaro o -29 ko 29.

$$x=\frac{29±\sqrt{1129}}{2\times 2}$$

Whakareatia 2 ki te 2.

$$x=\frac{29±\sqrt{1129}}{4}$$

Nā, me whakaoti te whārite x=\frac{29±\sqrt{1129}}{4} ina he tāpiri te ±. Tāpiri 29 ki te \sqrt{1129}.

$$x=\frac{\sqrt{1129}+29}{4}$$

Nā, me whakaoti te whārite x=\frac{29±\sqrt{1129}}{4} ina he tango te ±. Tango \sqrt{1129} mai i 29.

$$x=\frac{29-\sqrt{1129}}{4}$$

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{29+\sqrt{1129}}{4} mō te x_{1} me te \frac{29-\sqrt{1129}}{4} mō te x_{2}.

$$2x^{2}-29x-36=2\left(x-\frac{\sqrt{1129}+29}{4}\right)\left(x-\frac{29-\sqrt{1129}}{4}\right)$$

Aromātai

$$2x^{2}-29x-36$$