Whakaoti i te x^2+445x-3230

$${ x }^{ 2 } +445x-3230$$

Tauwehe

$$\left(x-\frac{-7\sqrt{4305}-445}{2}\right)\left(x-\frac{7\sqrt{4305}-445}{2}\right)$$

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.

$$x^{2}+445x-3230=0$$

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.

$$x=\frac{-445±\sqrt{445^{2}-4\left(-3230\right)}}{2}$$

Pūrua 445.

$$x=\frac{-445±\sqrt{198025-4\left(-3230\right)}}{2}$$

Whakareatia -4 ki te -3230.

$$x=\frac{-445±\sqrt{198025+12920}}{2}$$

Tāpiri 198025 ki te 12920.

$$x=\frac{-445±\sqrt{210945}}{2}$$

Tuhia te pūtakerua o te 210945.

$$x=\frac{-445±7\sqrt{4305}}{2}$$

Nā, me whakaoti te whārite x=\frac{-445±7\sqrt{4305}}{2} ina he tāpiri te ±. Tāpiri -445 ki te 7\sqrt{4305}.

$$x=\frac{7\sqrt{4305}-445}{2}$$

Nā, me whakaoti te whārite x=\frac{-445±7\sqrt{4305}}{2} ina he tango te ±. Tango 7\sqrt{4305} mai i -445.

$$x=\frac{-7\sqrt{4305}-445}{2}$$

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{-445+7\sqrt{4305}}{2} mō te x_{1} me te \frac{-445-7\sqrt{4305}}{2} mō te x_{2}.

$$x^{2}+445x-3230=\left(x-\frac{7\sqrt{4305}-445}{2}\right)\left(x-\frac{-7\sqrt{4305}-445}{2}\right)$$

Aromātai

$$x^{2}+445x-3230$$