Whakaoti i te x^2+0x-36=

$$x ^ { 2 } + 0 x - 36 =$$

Aromātai

$$x^{2}-36$$

Ngā Upane Otinga

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$x^{2}+0-36$$

Tangohia te 36 i te 0, ka -36.

$$x^{2}-36$$

Tauwehe

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

Ngā Upane Otinga

Whakarea ka paheko i ngā kīanga tau ōrite.

$$x^{2}-36$$

Tuhia anō te x^{2}-36 hei x^{2}-6^{2}. Ka taea te rerekētanga o ngā pūrua te whakatauwehe mā te ture: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

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

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.

$$x^{2}-36=0$$

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.

$$x=\frac{0±\sqrt{0^{2}-4\left(-36\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-36\right)}}{2}$$

Whakareatia -4 ki te -36.

$$x=\frac{0±\sqrt{144}}{2}$$

Tuhia te pūtakerua o te 144.

$$x=\frac{0±12}{2}$$

Nā, me whakaoti te whārite x=\frac{±12}{2} ina he tāpiri te ±. Whakawehe 12 ki te 2.

$$x=6$$

Nā, me whakaoti te whārite x=\frac{±12}{2} ina he tango te ±. Whakawehe -12 ki te 2.

$$x=-6$$

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 -6 mō te x_{2}.

$$x^{2}-36=\left(x-6\right)\left(x-\left(-6\right)\right)$$

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

$$x^{2}-36=\left(x-6\right)\left(x+6\right)$$