Whakaoti i te 72x^2+80x+48

$$72 x ^ { 2 } + 80 x + 48$$

Tauwehe

$$8\left(9x^{2}+10x+6\right)$$

Ngā Upane Otinga

Tauwehea te 8. Kāore te pūrau 9x^{2}+10x+6 i whakatauwehea i te mea kāhore ōna pūtake whakahau.

$$8\left(9x^{2}+10x+6\right)$$

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.

$$72x^{2}+80x+48=0$$

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.

$$x=\frac{-80±\sqrt{80^{2}-4\times 72\times 48}}{2\times 72}$$

Pūrua 80.

$$x=\frac{-80±\sqrt{6400-4\times 72\times 48}}{2\times 72}$$

Whakareatia -4 ki te 72.

$$x=\frac{-80±\sqrt{6400-288\times 48}}{2\times 72}$$

Whakareatia -288 ki te 48.

$$x=\frac{-80±\sqrt{6400-13824}}{2\times 72}$$

Tāpiri 6400 ki te -13824.

$$x=\frac{-80±\sqrt{-7424}}{2\times 72}$$

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.

$$72x^{2}+80x+48$$

Aromātai

$$72x^{2}+80x+48$$