Whakaoti i te 7+x*3x=32

$$7+x \times 3x=32$$

Whakaoti mō x

$$x = \frac{5 \sqrt{3}}{3} \approx 2.886751346$$

$$x = -\frac{5 \sqrt{3}}{3} \approx -2.886751346$$

Ngā Upane mā te Kimi Pūtakerua

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

$$7+x^{2}\times 3=32$$

Tangohia te 7 mai i ngā taha e rua.

$$x^{2}\times 3=32-7$$

Tangohia te 7 i te 32, ka 25.

$$x^{2}\times 3=25$$

Whakawehea ngā taha e rua ki te 3.

$$x^{2}=\frac{25}{3}$$

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

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

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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

$$7+x^{2}\times 3=32$$

Tangohia te 32 mai i ngā taha e rua.

$$7+x^{2}\times 3-32=0$$

Tangohia te 32 i te 7, ka -25.

$$-25+x^{2}\times 3=0$$

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.

$$3x^{2}-25=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 3 mō a, 0 mō b, me -25 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 3\left(-25\right)}}{2\times 3}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 3\left(-25\right)}}{2\times 3}$$

Whakareatia -4 ki te 3.

$$x=\frac{0±\sqrt{-12\left(-25\right)}}{2\times 3}$$

Whakareatia -12 ki te -25.

$$x=\frac{0±\sqrt{300}}{2\times 3}$$

Tuhia te pūtakerua o te 300.

$$x=\frac{0±10\sqrt{3}}{2\times 3}$$

Whakareatia 2 ki te 3.

$$x=\frac{0±10\sqrt{3}}{6}$$

Nā, me whakaoti te whārite x=\frac{0±10\sqrt{3}}{6} ina he tāpiri te ±.

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

Nā, me whakaoti te whārite x=\frac{0±10\sqrt{3}}{6} ina he tango te ±.

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

Kua oti te whārite te whakatau.

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