Whakaoti i te -6n-n^2

$$- 6 n - n ^ { 2 }$$

Tauwehe

$$-n\left(n+6\right)$$

Ngā Upane Otinga

Tauwehea te n.

$$n\left(-6-n\right)$$

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.

$$-n^{2}-6n=0$$

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.

$$n=\frac{-\left(-6\right)±\sqrt{\left(-6\right)^{2}}}{2\left(-1\right)}$$

Tuhia te pūtakerua o te \left(-6\right)^{2}.

$$n=\frac{-\left(-6\right)±6}{2\left(-1\right)}$$

Ko te tauaro o -6 ko 6.

$$n=\frac{6±6}{2\left(-1\right)}$$

Whakareatia 2 ki te -1.

$$n=\frac{6±6}{-2}$$

Nā, me whakaoti te whārite n=\frac{6±6}{-2} ina he tāpiri te ±. Tāpiri 6 ki te 6.

$$n=\frac{12}{-2}$$

Whakawehe 12 ki te -2.

$$n=-6$$

Nā, me whakaoti te whārite n=\frac{6±6}{-2} ina he tango te ±. Tango 6 mai i 6.

$$n=\frac{0}{-2}$$

Whakawehe 0 ki te -2.

$$n=0$$

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 -6 mō te x_{1} me te 0 mō te x_{2}.

$$-n^{2}-6n=-\left(n-\left(-6\right)\right)n$$

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

$$-n^{2}-6n=-\left(n+6\right)n$$

Aromātai

$$-n\left(n+6\right)$$