Whakaoti i te 3x*x=50

$$3x \times x=50$$

Whakaoti mō x

$$x = \frac{5 \sqrt{6}}{3} \approx 4.082482905$$

$$x = -\frac{5 \sqrt{6}}{3} \approx -4.082482905$$

Ngā Upane mā te Kimi Pūtakerua

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

$$3x^{2}=50$$

Whakawehea ngā taha e rua ki te 3.

$$x^{2}=\frac{50}{3}$$

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

$$x=\frac{5\sqrt{6}}{3} x=-\frac{5\sqrt{6}}{3}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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

$$3x^{2}=50$$

Tangohia te 50 mai i ngā taha e rua.

$$3x^{2}-50=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 3 mō a, 0 mō b, me -50 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 3\left(-50\right)}}{2\times 3}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 3\left(-50\right)}}{2\times 3}$$

Whakareatia -4 ki te 3.

$$x=\frac{0±\sqrt{-12\left(-50\right)}}{2\times 3}$$

Whakareatia -12 ki te -50.

$$x=\frac{0±\sqrt{600}}{2\times 3}$$

Tuhia te pūtakerua o te 600.

$$x=\frac{0±10\sqrt{6}}{2\times 3}$$

Whakareatia 2 ki te 3.

$$x=\frac{0±10\sqrt{6}}{6}$$

Nā, me whakaoti te whārite x=\frac{0±10\sqrt{6}}{6} ina he tāpiri te ±.

$$x=\frac{5\sqrt{6}}{3}$$

Nā, me whakaoti te whārite x=\frac{0±10\sqrt{6}}{6} ina he tango te ±.

$$x=-\frac{5\sqrt{6}}{3}$$

Kua oti te whārite te whakatau.

$$x=\frac{5\sqrt{6}}{3} x=-\frac{5\sqrt{6}}{3}$$