Whakaoti i te -2a^2-4a-8

$$- 2 a ^ { 2 } - 4 a - 8$$

Tauwehe

$$2\left(-a^{2}-2a-4\right)$$

Ngā Upane Otinga

Tauwehea te 2. Kāore te pūrau -a^{2}-2a-4 i whakatauwehea i te mea kāhore ōna pūtake whakahau.

$$2\left(-a^{2}-2a-4\right)$$

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.

$$-2a^{2}-4a-8=0$$

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.

$$a=\frac{-\left(-4\right)±\sqrt{\left(-4\right)^{2}-4\left(-2\right)\left(-8\right)}}{2\left(-2\right)}$$

Pūrua -4.

$$a=\frac{-\left(-4\right)±\sqrt{16-4\left(-2\right)\left(-8\right)}}{2\left(-2\right)}$$

Whakareatia -4 ki te -2.

$$a=\frac{-\left(-4\right)±\sqrt{16+8\left(-8\right)}}{2\left(-2\right)}$$

Whakareatia 8 ki te -8.

$$a=\frac{-\left(-4\right)±\sqrt{16-64}}{2\left(-2\right)}$$

Tāpiri 16 ki te -64.

$$a=\frac{-\left(-4\right)±\sqrt{-48}}{2\left(-2\right)}$$

Tā te mea e kore te pūrua o tētahi tau tōraro e tautohutia ki te āpure tūturu, kāhore he rongoā. Kāore e taea te pūrau pūrua te whakatauwehe.

$$-2a^{2}-4a-8$$

Aromātai

$$-2a^{2}-4a-8$$