Whakaoti i te 146x^2+x-2

$$146 x ^ { 2 } + x - 2$$

Tauwehe

$$146\left(x-\frac{-\sqrt{1169}-1}{292}\right)\left(x-\frac{\sqrt{1169}-1}{292}\right)$$

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.

$$146x^{2}+x-2=0$$

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.

$$x=\frac{-1±\sqrt{1^{2}-4\times 146\left(-2\right)}}{2\times 146}$$

Pūrua 1.

$$x=\frac{-1±\sqrt{1-4\times 146\left(-2\right)}}{2\times 146}$$

Whakareatia -4 ki te 146.

$$x=\frac{-1±\sqrt{1-584\left(-2\right)}}{2\times 146}$$

Whakareatia -584 ki te -2.

$$x=\frac{-1±\sqrt{1+1168}}{2\times 146}$$

Tāpiri 1 ki te 1168.

$$x=\frac{-1±\sqrt{1169}}{2\times 146}$$

Whakareatia 2 ki te 146.

$$x=\frac{-1±\sqrt{1169}}{292}$$

Nā, me whakaoti te whārite x=\frac{-1±\sqrt{1169}}{292} ina he tāpiri te ±. Tāpiri -1 ki te \sqrt{1169}.

$$x=\frac{\sqrt{1169}-1}{292}$$

Nā, me whakaoti te whārite x=\frac{-1±\sqrt{1169}}{292} ina he tango te ±. Tango \sqrt{1169} mai i -1.

$$x=\frac{-\sqrt{1169}-1}{292}$$

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{-1+\sqrt{1169}}{292} mō te x_{1} me te \frac{-1-\sqrt{1169}}{292} mō te x_{2}.

$$146x^{2}+x-2=146\left(x-\frac{\sqrt{1169}-1}{292}\right)\left(x-\frac{-\sqrt{1169}-1}{292}\right)$$

Aromātai

$$146x^{2}+x-2$$