Whakaoti i te 2x*x=50

$$2x \times x=50$$

Whakaoti mō x

$$x=5$$

$$x=-5$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia te x ki te x, ka x^{2}.

$$2x^{2}=50$$

Whakawehea ngā taha e rua ki te 2.

$$x^{2}=\frac{50}{2}$$

Whakawehea te 50 ki te 2, kia riro ko 25.

$$x^{2}=25$$

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

$$x=5 x=-5$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia te x ki te x, ka x^{2}.

$$2x^{2}=50$$

Tangohia te 50 mai i ngā taha e rua.

$$2x^{2}-50=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 2 mō a, 0 mō b, me -50 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 2\left(-50\right)}}{2\times 2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 2\left(-50\right)}}{2\times 2}$$

Whakareatia -4 ki te 2.

$$x=\frac{0±\sqrt{-8\left(-50\right)}}{2\times 2}$$

Whakareatia -8 ki te -50.

$$x=\frac{0±\sqrt{400}}{2\times 2}$$

Tuhia te pūtakerua o te 400.

$$x=\frac{0±20}{2\times 2}$$

Whakareatia 2 ki te 2.

$$x=\frac{0±20}{4}$$

Nā, me whakaoti te whārite x=\frac{0±20}{4} ina he tāpiri te ±. Whakawehe 20 ki te 4.

$$x=5$$

Nā, me whakaoti te whārite x=\frac{0±20}{4} ina he tango te ±. Whakawehe -20 ki te 4.

$$x=-5$$

Kua oti te whārite te whakatau.

$$x=5 x=-5$$