Whakaoti i te x^2=625

$${ x }^{ 2 } =625$$

Whakaoti mō x

$$x=25$$

$$x=-25$$

Ngā Hipanga Whakamahi Rerekētanga o ngā Pūrua

Tangohia te 625 mai i ngā taha e rua.

$$x^{2}-625=0$$

Whakaarohia te x^{2}-625. Tuhia anō te x^{2}-625 hei x^{2}-25^{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).

$$\left(x-25\right)\left(x+25\right)=0$$

Hei kimi otinga whārite, me whakaoti te x-25=0 me te x+25=0.

$$x=25 x=-25$$

Ngā Upane mā te Kimi Pūtakerua

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

$$x=25 x=-25$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 625 mai i ngā taha e rua.

$$x^{2}-625=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -625 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-625\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-625\right)}}{2}$$

Whakareatia -4 ki te -625.

$$x=\frac{0±\sqrt{2500}}{2}$$

Tuhia te pūtakerua o te 2500.

$$x=\frac{0±50}{2}$$

Nā, me whakaoti te whārite x=\frac{0±50}{2} ina he tāpiri te ±. Whakawehe 50 ki te 2.

$$x=25$$

Nā, me whakaoti te whārite x=\frac{0±50}{2} ina he tango te ±. Whakawehe -50 ki te 2.

$$x=-25$$

Kua oti te whārite te whakatau.

$$x=25 x=-25$$