Whakaoti i te 16p^2+8p+6

$$16 p ^ { 2 } + 8 p + 6$$

Tauwehe

$$2\left(8p^{2}+4p+3\right)$$

Ngā Upane Otinga

Tauwehea te 2. Kāore te pūrau 8p^{2}+4p+3 i whakatauwehea i te mea kāhore ōna pūtake whakahau.

$$2\left(8p^{2}+4p+3\right)$$

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.

$$16p^{2}+8p+6=0$$

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.

$$p=\frac{-8±\sqrt{8^{2}-4\times 16\times 6}}{2\times 16}$$

Pūrua 8.

$$p=\frac{-8±\sqrt{64-4\times 16\times 6}}{2\times 16}$$

Whakareatia -4 ki te 16.

$$p=\frac{-8±\sqrt{64-64\times 6}}{2\times 16}$$

Whakareatia -64 ki te 6.

$$p=\frac{-8±\sqrt{64-384}}{2\times 16}$$

Tāpiri 64 ki te -384.

$$p=\frac{-8±\sqrt{-320}}{2\times 16}$$

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.

$$16p^{2}+8p+6$$

Aromātai

$$16p^{2}+8p+6$$