Whakaoti i te x^2+89+206=395

$$x ^ { 2 } + 89 + 206 = 395$$

Whakaoti mō x

$$x=10$$

$$x=-10$$

Ngā Hipanga Whakamahi Rerekētanga o ngā Pūrua

Tāpirihia te 89 ki te 206, ka 295.

$$x^{2}+295=395$$

Tangohia te 395 mai i ngā taha e rua.

$$x^{2}+295-395=0$$

Tangohia te 395 i te 295, ka -100.

$$x^{2}-100=0$$

Whakaarohia te x^{2}-100. Tuhia anō te x^{2}-100 hei x^{2}-10^{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).

$$\left(x-10\right)\left(x+10\right)=0$$

Hei kimi otinga whārite, me whakaoti te x-10=0 me te x+10=0.

$$x=10 x=-10$$

Ngā Upane mā te Kimi Pūtakerua

Tāpirihia te 89 ki te 206, ka 295.

$$x^{2}+295=395$$

Tangohia te 295 mai i ngā taha e rua.

$$x^{2}=395-295$$

Tangohia te 295 i te 395, ka 100.

$$x^{2}=100$$

Tuhia te pūtakerua o ngā taha e rua o te whārite.

$$x=10 x=-10$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tāpirihia te 89 ki te 206, ka 295.

$$x^{2}+295=395$$

Tangohia te 395 mai i ngā taha e rua.

$$x^{2}+295-395=0$$

Tangohia te 395 i te 295, ka -100.

$$x^{2}-100=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -100 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-100\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-100\right)}}{2}$$

Whakareatia -4 ki te -100.

$$x=\frac{0±\sqrt{400}}{2}$$

Tuhia te pūtakerua o te 400.

$$x=\frac{0±20}{2}$$

Nā, me whakaoti te whārite x=\frac{0±20}{2} ina he tāpiri te ±. Whakawehe 20 ki te 2.

$$x=10$$

Nā, me whakaoti te whārite x=\frac{0±20}{2} ina he tango te ±. Whakawehe -20 ki te 2.

$$x=-10$$

Kua oti te whārite te whakatau.

$$x=10 x=-10$$