Whakaoti i te 0.0025=x^2

$$0.0025 = x ^ { 2 }$$

Whakaoti mō x

$$x=0.05$$

$$x=-0.05$$

Ngā Hipanga Whakamahi Rerekētanga o ngā Pūrua

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$x^{2}=0.0025$$

Tangohia te 0.0025 mai i ngā taha e rua.

$$x^{2}-0.0025=0$$

Whakaarohia te x^{2}-0.0025. Tuhia anō te x^{2}-0.0025 hei x^{2}-\left(\frac{1}{20}\right)^{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).

$$\left(x-\frac{1}{20}\right)\left(x+\frac{1}{20}\right)=0$$

Hei kimi otinga whārite, me whakaoti te x-\frac{1}{20}=0 me te x+\frac{1}{20}=0.

$$x=\frac{1}{20} x=-\frac{1}{20}$$

Ngā Upane mā te Kimi Pūtakerua

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$x^{2}=0.0025$$

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

$$x=\frac{1}{20} x=-\frac{1}{20}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$x^{2}=0.0025$$

Tangohia te 0.0025 mai i ngā taha e rua.

$$x^{2}-0.0025=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -0.0025 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-0.0025\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-0.0025\right)}}{2}$$

Whakareatia -4 ki te -0.0025.

$$x=\frac{0±\sqrt{0.01}}{2}$$

Tuhia te pūtakerua o te 0.01.

$$x=\frac{0±\frac{1}{10}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{1}{10}}{2} ina he tāpiri te ±.

$$x=\frac{1}{20}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{1}{10}}{2} ina he tango te ±.

$$x=-\frac{1}{20}$$

Kua oti te whārite te whakatau.

$$x=\frac{1}{20} x=-\frac{1}{20}$$