Whakaoti i te x^2+56x-225

$${ x }^{ 2 } +56x-225$$

Tauwehe

$$\left(x-\left(-\sqrt{1009}-28\right)\right)\left(x-\left(\sqrt{1009}-28\right)\right)$$

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.

$$x^{2}+56x-225=0$$

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.

$$x=\frac{-56±\sqrt{56^{2}-4\left(-225\right)}}{2}$$

Pūrua 56.

$$x=\frac{-56±\sqrt{3136-4\left(-225\right)}}{2}$$

Whakareatia -4 ki te -225.

$$x=\frac{-56±\sqrt{3136+900}}{2}$$

Tāpiri 3136 ki te 900.

$$x=\frac{-56±\sqrt{4036}}{2}$$

Tuhia te pūtakerua o te 4036.

$$x=\frac{-56±2\sqrt{1009}}{2}$$

Nā, me whakaoti te whārite x=\frac{-56±2\sqrt{1009}}{2} ina he tāpiri te ±. Tāpiri -56 ki te 2\sqrt{1009}.

$$x=\frac{2\sqrt{1009}-56}{2}$$

Whakawehe -56+2\sqrt{1009} ki te 2.

$$x=\sqrt{1009}-28$$

Nā, me whakaoti te whārite x=\frac{-56±2\sqrt{1009}}{2} ina he tango te ±. Tango 2\sqrt{1009} mai i -56.

$$x=\frac{-2\sqrt{1009}-56}{2}$$

Whakawehe -56-2\sqrt{1009} ki te 2.

$$x=-\sqrt{1009}-28$$

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 -28+\sqrt{1009} mō te x_{1} me te -28-\sqrt{1009} mō te x_{2}.

$$x^{2}+56x-225=\left(x-\left(\sqrt{1009}-28\right)\right)\left(x-\left(-\sqrt{1009}-28\right)\right)$$

Aromātai

$$x^{2}+56x-225$$