Whakaoti i te x^2=162

$$x ^ { 2 } = 162$$

Whakaoti mō x

$$x=9\sqrt{2}\approx 12.727922061$$

$$x=-9\sqrt{2}\approx -12.727922061$$

Ngā Upane mā te Kimi Pūtakerua

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

$$x=9\sqrt{2} x=-9\sqrt{2}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 162 mai i ngā taha e rua.

$$x^{2}-162=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -162 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-162\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-162\right)}}{2}$$

Whakareatia -4 ki te -162.

$$x=\frac{0±\sqrt{648}}{2}$$

Tuhia te pūtakerua o te 648.

$$x=\frac{0±18\sqrt{2}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±18\sqrt{2}}{2} ina he tāpiri te ±.

$$x=9\sqrt{2}$$

Nā, me whakaoti te whārite x=\frac{0±18\sqrt{2}}{2} ina he tango te ±.

$$x=-9\sqrt{2}$$

Kua oti te whārite te whakatau.

$$x=9\sqrt{2} x=-9\sqrt{2}$$