Whakaoti i te x^2=1000

$$x ^ { 2 } = 1000$$

Whakaoti mō x

$$x=10\sqrt{10}\approx 31.622776602$$

$$x=-10\sqrt{10}\approx -31.622776602$$

Ngā Upane mā te Kimi Pūtakerua

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

$$x=10\sqrt{10} x=-10\sqrt{10}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 1000 mai i ngā taha e rua.

$$x^{2}-1000=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -1000 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-1000\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-1000\right)}}{2}$$

Whakareatia -4 ki te -1000.

$$x=\frac{0±\sqrt{4000}}{2}$$

Tuhia te pūtakerua o te 4000.

$$x=\frac{0±20\sqrt{10}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±20\sqrt{10}}{2} ina he tāpiri te ±.

$$x=10\sqrt{10}$$

Nā, me whakaoti te whārite x=\frac{0±20\sqrt{10}}{2} ina he tango te ±.

$$x=-10\sqrt{10}$$

Kua oti te whārite te whakatau.

$$x=10\sqrt{10} x=-10\sqrt{10}$$