Whakaoti i te z^2-4z

$${ z }^{ 2 } -4z$$

Tauwehe

$$z\left(z-4\right)$$

Ngā Upane Otinga

Tauwehea te z.

$$z\left(z-4\right)$$

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.

$$z^{2}-4z=0$$

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.

$$z=\frac{-\left(-4\right)±\sqrt{\left(-4\right)^{2}}}{2}$$

Tuhia te pūtakerua o te \left(-4\right)^{2}.

$$z=\frac{-\left(-4\right)±4}{2}$$

Ko te tauaro o -4 ko 4.

$$z=\frac{4±4}{2}$$

Nā, me whakaoti te whārite z=\frac{4±4}{2} ina he tāpiri te ±. Tāpiri 4 ki te 4.

$$z=\frac{8}{2}$$

Whakawehe 8 ki te 2.

$$z=4$$

Nā, me whakaoti te whārite z=\frac{4±4}{2} ina he tango te ±. Tango 4 mai i 4.

$$z=\frac{0}{2}$$

Whakawehe 0 ki te 2.

$$z=0$$

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 4 mō te x_{1} me te 0 mō te x_{2}.

$$z^{2}-4z=\left(z-4\right)z$$

Aromātai

$$z\left(z-4\right)$$