Whakaoti i te x^2+64x+8

$$x ^ { 2 } + 64 x + 8$$

Tauwehe

$$\left(x-\left(-2\sqrt{254}-32\right)\right)\left(x-\left(2\sqrt{254}-32\right)\right)$$

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.

$$x^{2}+64x+8=0$$

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.

$$x=\frac{-64±\sqrt{64^{2}-4\times 8}}{2}$$

Pūrua 64.

$$x=\frac{-64±\sqrt{4096-4\times 8}}{2}$$

Whakareatia -4 ki te 8.

$$x=\frac{-64±\sqrt{4096-32}}{2}$$

Tāpiri 4096 ki te -32.

$$x=\frac{-64±\sqrt{4064}}{2}$$

Tuhia te pūtakerua o te 4064.

$$x=\frac{-64±4\sqrt{254}}{2}$$

Nā, me whakaoti te whārite x=\frac{-64±4\sqrt{254}}{2} ina he tāpiri te ±. Tāpiri -64 ki te 4\sqrt{254}.

$$x=\frac{4\sqrt{254}-64}{2}$$

Whakawehe -64+4\sqrt{254} ki te 2.

$$x=2\sqrt{254}-32$$

Nā, me whakaoti te whārite x=\frac{-64±4\sqrt{254}}{2} ina he tango te ±. Tango 4\sqrt{254} mai i -64.

$$x=\frac{-4\sqrt{254}-64}{2}$$

Whakawehe -64-4\sqrt{254} ki te 2.

$$x=-2\sqrt{254}-32$$

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 -32+2\sqrt{254} mō te x_{1} me te -32-2\sqrt{254} mō te x_{2}.

$$x^{2}+64x+8=\left(x-\left(2\sqrt{254}-32\right)\right)\left(x-\left(-2\sqrt{254}-32\right)\right)$$

Aromātai

$$x^{2}+64x+8$$