Whakaoti i te X^2=31

$$X ^ { 2 } = 31$$

Whakaoti mō X

$$X=\sqrt{31}\approx 5.567764363$$

$$X=-\sqrt{31}\approx -5.567764363$$

Ngā Upane mā te Kimi Pūtakerua

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

$$X=\sqrt{31} X=-\sqrt{31}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 31 mai i ngā taha e rua.

$$X^{2}-31=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -31 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$X=\frac{0±\sqrt{0^{2}-4\left(-31\right)}}{2}$$

Pūrua 0.

$$X=\frac{0±\sqrt{-4\left(-31\right)}}{2}$$

Whakareatia -4 ki te -31.

$$X=\frac{0±\sqrt{124}}{2}$$

Tuhia te pūtakerua o te 124.

$$X=\frac{0±2\sqrt{31}}{2}$$

Nā, me whakaoti te whārite X=\frac{0±2\sqrt{31}}{2} ina he tāpiri te ±.

$$X=\sqrt{31}$$

Nā, me whakaoti te whārite X=\frac{0±2\sqrt{31}}{2} ina he tango te ±.

$$X=-\sqrt{31}$$

Kua oti te whārite te whakatau.

$$X=\sqrt{31} X=-\sqrt{31}$$