Whakaoti i te 6x^2+12x+16

$$6 x ^ { 2 } + 12 x + 16$$

Tauwehe

$$2\left(3x^{2}+6x+8\right)$$

Ngā Upane Otinga

Tauwehea te 2. Kāore te pūrau 3x^{2}+6x+8 i whakatauwehea i te mea kāhore ōna pūtake whakahau.

$$2\left(3x^{2}+6x+8\right)$$

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.

$$6x^{2}+12x+16=0$$

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.

$$x=\frac{-12±\sqrt{12^{2}-4\times 6\times 16}}{2\times 6}$$

Pūrua 12.

$$x=\frac{-12±\sqrt{144-4\times 6\times 16}}{2\times 6}$$

Whakareatia -4 ki te 6.

$$x=\frac{-12±\sqrt{144-24\times 16}}{2\times 6}$$

Whakareatia -24 ki te 16.

$$x=\frac{-12±\sqrt{144-384}}{2\times 6}$$

Tāpiri 144 ki te -384.

$$x=\frac{-12±\sqrt{-240}}{2\times 6}$$

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.

$$6x^{2}+12x+16$$

Aromātai

$$6x^{2}+12x+16$$