Whakaoti i te h(t)=-98t^2+196t

$$h ( t ) = - 98 t ^ { 2 } + 196 t$$

Tauwehe

$$98t\left(2-t\right)$$

Ngā Upane Otinga

Tauwehea te 98.

$$98\left(-t^{2}+2t\right)$$

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

$$t\left(-t+2\right)$$

Me tuhi anō te kīanga whakatauwehe katoa.

$$98t\left(-t+2\right)$$

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.

$$-98t^{2}+196t=0$$

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.

$$t=\frac{-196±\sqrt{196^{2}}}{2\left(-98\right)}$$

Tuhia te pūtakerua o te 196^{2}.

$$t=\frac{-196±196}{2\left(-98\right)}$$

Whakareatia 2 ki te -98.

$$t=\frac{-196±196}{-196}$$

Nā, me whakaoti te whārite t=\frac{-196±196}{-196} ina he tāpiri te ±. Tāpiri -196 ki te 196.

$$t=\frac{0}{-196}$$

Whakawehe 0 ki te -196.

$$t=0$$

Nā, me whakaoti te whārite t=\frac{-196±196}{-196} ina he tango te ±. Tango 196 mai i -196.

$$t=-\frac{392}{-196}$$

Whakawehe -392 ki te -196.

$$t=2$$

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 2 mō te x_{2}.

$$-98t^{2}+196t=-98t\left(t-2\right)$$

Aromātai

$$98t\left(2-t\right)$$