Whakaoti i te 36x^2-16x+10

$$36 x ^ { 2 } - 16 x + 10$$

Tauwehe

$$2\left(18x^{2}-8x+5\right)$$

Ngā Upane Otinga

Tauwehea te 2. Kāore te pūrau 18x^{2}-8x+5 i whakatauwehea i te mea kāhore ōna pūtake whakahau.

$$2\left(18x^{2}-8x+5\right)$$

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.

$$36x^{2}-16x+10=0$$

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.

$$x=\frac{-\left(-16\right)±\sqrt{\left(-16\right)^{2}-4\times 36\times 10}}{2\times 36}$$

Pūrua -16.

$$x=\frac{-\left(-16\right)±\sqrt{256-4\times 36\times 10}}{2\times 36}$$

Whakareatia -4 ki te 36.

$$x=\frac{-\left(-16\right)±\sqrt{256-144\times 10}}{2\times 36}$$

Whakareatia -144 ki te 10.

$$x=\frac{-\left(-16\right)±\sqrt{256-1440}}{2\times 36}$$

Tāpiri 256 ki te -1440.

$$x=\frac{-\left(-16\right)±\sqrt{-1184}}{2\times 36}$$

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.

$$36x^{2}-16x+10$$

Aromātai

$$36x^{2}-16x+10$$