Whakaoti i te 4x^2-6=2x^2

$$4 x ^ { 2 } - 6 = 2 x ^ { 2 }$$

Whakaoti mō x

$$x=\sqrt{3}\approx 1.732050808$$

$$x=-\sqrt{3}\approx -1.732050808$$

Ngā Upane mā te Kimi Pūtakerua

Tangohia te 2x^{2} mai i ngā taha e rua.

$$4x^{2}-6-2x^{2}=0$$

Pahekotia te 4x^{2} me -2x^{2}, ka 2x^{2}.

$$2x^{2}-6=0$$

Me tāpiri te 6 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$2x^{2}=6$$

Whakawehea ngā taha e rua ki te 2.

$$x^{2}=\frac{6}{2}$$

Whakawehea te 6 ki te 2, kia riro ko 3.

$$x^{2}=3$$

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

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

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 2x^{2} mai i ngā taha e rua.

$$4x^{2}-6-2x^{2}=0$$

Pahekotia te 4x^{2} me -2x^{2}, ka 2x^{2}.

$$2x^{2}-6=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 2 mō a, 0 mō b, me -6 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 2\left(-6\right)}}{2\times 2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 2\left(-6\right)}}{2\times 2}$$

Whakareatia -4 ki te 2.

$$x=\frac{0±\sqrt{-8\left(-6\right)}}{2\times 2}$$

Whakareatia -8 ki te -6.

$$x=\frac{0±\sqrt{48}}{2\times 2}$$

Tuhia te pūtakerua o te 48.

$$x=\frac{0±4\sqrt{3}}{2\times 2}$$

Whakareatia 2 ki te 2.

$$x=\frac{0±4\sqrt{3}}{4}$$

Nā, me whakaoti te whārite x=\frac{0±4\sqrt{3}}{4} ina he tāpiri te ±.

$$x=\sqrt{3}$$

Nā, me whakaoti te whārite x=\frac{0±4\sqrt{3}}{4} ina he tango te ±.

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

Kua oti te whārite te whakatau.

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