Whakaoti i te R(p)=-9p^2+18.000p

$$R ( p ) = - 9 p ^ { 2 } + 18.000 p$$

Tauwehe

$$9p\left(2-p\right)$$

Ngā Upane Otinga

Tauwehea te 9.

$$9\left(-p^{2}+2p\right)$$

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

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

Me tuhi anō te kīanga whakatauwehe katoa.

$$9p\left(-p+2\right)$$

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.

$$-9p^{2}+18p=0$$

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.

$$p=\frac{-18±\sqrt{18^{2}}}{2\left(-9\right)}$$

Tuhia te pūtakerua o te 18^{2}.

$$p=\frac{-18±18}{2\left(-9\right)}$$

Whakareatia 2 ki te -9.

$$p=\frac{-18±18}{-18}$$

Nā, me whakaoti te whārite p=\frac{-18±18}{-18} ina he tāpiri te ±. Tāpiri -18 ki te 18.

$$p=\frac{0}{-18}$$

Whakawehe 0 ki te -18.

$$p=0$$

Nā, me whakaoti te whārite p=\frac{-18±18}{-18} ina he tango te ±. Tango 18 mai i -18.

$$p=-\frac{36}{-18}$$

Whakawehe -36 ki te -18.

$$p=2$$

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}.

$$-9p^{2}+18p=-9p\left(p-2\right)$$

Aromātai

$$9p\left(2-p\right)$$