Whakaoti i te a^2=100

$$a ^ { 2 } = 100$$

Whakaoti mō a

$$a=10$$

$$a=-10$$

Ngā Hipanga Whakamahi Rerekētanga o ngā Pūrua

Tangohia te 100 mai i ngā taha e rua.

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

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

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

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

$$a=10 a=-10$$

Ngā Upane mā te Kimi Pūtakerua

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

$$a=10 a=-10$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 100 mai i ngā taha e rua.

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

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}.

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

Pūrua 0.

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

Whakareatia -4 ki te -100.

$$a=\frac{0±\sqrt{400}}{2}$$

Tuhia te pūtakerua o te 400.

$$a=\frac{0±20}{2}$$

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

$$a=10$$

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

$$a=-10$$

Kua oti te whārite te whakatau.

$$a=10 a=-10$$