Whakaoti i te x^2=4sqrt{3}-21.861^2

$${ x }^{ 2 } = 4 \sqrt{ 3 } -2 { 1.861 }^{ 2 }$$

Whakaoti mō x (complex solution)

$$x=-\sqrt{4\sqrt{3}-6.926642}\approx -0.039512407$$

$$x=\sqrt{4\sqrt{3}-6.926642}\approx 0.039512407$$

Ngā Upane mā te Kimi Pūtakerua

Tātaihia te 1.861 mā te pū o 2, kia riro ko 3.463321.

$$x^{2}=4\sqrt{3}-2\times 3.463321$$

Whakareatia te 2 ki te 3.463321, ka 6.926642.

$$x^{2}=4\sqrt{3}-6.926642$$

Kua oti te whārite te whakatau.

$$x=\sqrt{4\sqrt{3}-6.926642} x=-\sqrt{4\sqrt{3}-6.926642}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tātaihia te 1.861 mā te pū o 2, kia riro ko 3.463321.

$$x^{2}=4\sqrt{3}-2\times 3.463321$$

Whakareatia te 2 ki te 3.463321, ka 6.926642.

$$x^{2}=4\sqrt{3}-6.926642$$

Tangohia te 4\sqrt{3} mai i ngā taha e rua.

$$x^{2}-4\sqrt{3}=-6.926642$$

Me tāpiri te 6.926642 ki ngā taha e rua.

$$x^{2}-4\sqrt{3}+6.926642=0$$

Ko ngā tikanga tātai pūrua pēnei i tēnei nā, me te kīanga tau x^{2} engari kāore he kīanga tau x, ka taea tonu te whakaoti mā te whakamahi i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, ina tuhia ki te tānga ngahuru: ax^{2}+bx+c=0.

$$x^{2}+6.926642-4\sqrt{3}=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -4\sqrt{3}+6.926642 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(6.926642-4\sqrt{3}\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(6.926642-4\sqrt{3}\right)}}{2}$$

Whakareatia -4 ki te -4\sqrt{3}+6.926642.

$$x=\frac{0±\sqrt{16\sqrt{3}-27.706568}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±\sqrt{16\sqrt{3}-27.706568}}{2} ina he tāpiri te ±.

$$x=\frac{\sqrt{16\sqrt{3}-27.706568}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±\sqrt{16\sqrt{3}-27.706568}}{2} ina he tango te ±.

$$x=-\frac{\sqrt{16\sqrt{3}-27.706568}}{2}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{16\sqrt{3}-27.706568}}{2} x=-\frac{\sqrt{16\sqrt{3}-27.706568}}{2}$$

Whakaoti mō x

$$x=\frac{\sqrt{16\sqrt{3}-27.706568}}{2}\approx 0.039512407$$

$$x=-\frac{\sqrt{16\sqrt{3}-27.706568}}{2}\approx -0.039512407$$