Whakaoti i te z^2+7z

$$z ^ { 2 } + 7 z$$

Tauwehe

$$z\left(z+7\right)$$

Ngā Upane Otinga

Tauwehea te z.

$$z\left(z+7\right)$$

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.

$$z^{2}+7z=0$$

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.

$$z=\frac{-7±\sqrt{7^{2}}}{2}$$

Tuhia te pūtakerua o te 7^{2}.

$$z=\frac{-7±7}{2}$$

Nā, me whakaoti te whārite z=\frac{-7±7}{2} ina he tāpiri te ±. Tāpiri -7 ki te 7.

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

Whakawehe 0 ki te 2.

$$z=0$$

Nā, me whakaoti te whārite z=\frac{-7±7}{2} ina he tango te ±. Tango 7 mai i -7.

$$z=-\frac{14}{2}$$

Whakawehe -14 ki te 2.

$$z=-7$$

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 -7 mō te x_{2}.

$$z^{2}+7z=z\left(z-\left(-7\right)\right)$$

Whakamāmātia ngā kīanga katoa o te āhua p-\left(-q\right) ki te p+q.

$$z^{2}+7z=z\left(z+7\right)$$

Aromātai

$$z\left(z+7\right)$$