Whakaoti i te f(t)=126t-6t^2

$$f ( t ) = 126 t - 6 t ^ { 2 }$$

Tauwehe

$$6t\left(21-t\right)$$

Ngā Upane Otinga

Tauwehea te 6.

$$6\left(21t-t^{2}\right)$$

Whakaarohia te 21t-t^{2}. Tauwehea te t.

$$t\left(21-t\right)$$

Me tuhi anō te kīanga whakatauwehe katoa.

$$6t\left(-t+21\right)$$

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.

$$-6t^{2}+126t=0$$

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.

$$t=\frac{-126±\sqrt{126^{2}}}{2\left(-6\right)}$$

Tuhia te pūtakerua o te 126^{2}.

$$t=\frac{-126±126}{2\left(-6\right)}$$

Whakareatia 2 ki te -6.

$$t=\frac{-126±126}{-12}$$

Nā, me whakaoti te whārite t=\frac{-126±126}{-12} ina he tāpiri te ±. Tāpiri -126 ki te 126.

$$t=\frac{0}{-12}$$

Whakawehe 0 ki te -12.

$$t=0$$

Nā, me whakaoti te whārite t=\frac{-126±126}{-12} ina he tango te ±. Tango 126 mai i -126.

$$t=-\frac{252}{-12}$$

Whakawehe -252 ki te -12.

$$t=21$$

Tauwehea te kīanga taketake mā te whakamahi i te ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right). Me whakakapi te 0 mō te x_{1} me te 21 mō te x_{2}.

$$-6t^{2}+126t=-6t\left(t-21\right)$$

Aromātai

$$6t\left(21-t\right)$$