Whakaoti i te 3x*2x=300

$$3 x \cdot 2 x = 300$$

Whakaoti mō x

$$x=5\sqrt{2}\approx 7.071067812$$

$$x=-5\sqrt{2}\approx -7.071067812$$

Ngā Upane mā te Kimi Pūtakerua

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

$$3x^{2}\times 2=300$$

Whakareatia te 3 ki te 2, ka 6.

$$6x^{2}=300$$

Whakawehea ngā taha e rua ki te 6.

$$x^{2}=\frac{300}{6}$$

Whakawehea te 300 ki te 6, kia riro ko 50.

$$x^{2}=50$$

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

$$x=5\sqrt{2} x=-5\sqrt{2}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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

$$3x^{2}\times 2=300$$

Whakareatia te 3 ki te 2, ka 6.

$$6x^{2}=300$$

Tangohia te 300 mai i ngā taha e rua.

$$6x^{2}-300=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 6 mō a, 0 mō b, me -300 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 6\left(-300\right)}}{2\times 6}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 6\left(-300\right)}}{2\times 6}$$

Whakareatia -4 ki te 6.

$$x=\frac{0±\sqrt{-24\left(-300\right)}}{2\times 6}$$

Whakareatia -24 ki te -300.

$$x=\frac{0±\sqrt{7200}}{2\times 6}$$

Tuhia te pūtakerua o te 7200.

$$x=\frac{0±60\sqrt{2}}{2\times 6}$$

Whakareatia 2 ki te 6.

$$x=\frac{0±60\sqrt{2}}{12}$$

Nā, me whakaoti te whārite x=\frac{0±60\sqrt{2}}{12} ina he tāpiri te ±.

$$x=5\sqrt{2}$$

Nā, me whakaoti te whārite x=\frac{0±60\sqrt{2}}{12} ina he tango te ±.

$$x=-5\sqrt{2}$$

Kua oti te whārite te whakatau.

$$x=5\sqrt{2} x=-5\sqrt{2}$$