Whakaoti i te 6.3x^2-27=0

$$6.3 x ^ { 2 } - 27 = 0$$

Whakaoti mō x

$$x = \frac{\sqrt{210}}{7} \approx 2.070196678$$

$$x = -\frac{\sqrt{210}}{7} \approx -2.070196678$$

Ngā Upane mā te Kimi Pūtakerua

Me tāpiri te 27 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$6.3x^{2}=27$$

Whakawehea ngā taha e rua ki te 6.3.

$$x^{2}=\frac{27}{6.3}$$

Whakarohaina te \frac{27}{6.3} mā te whakarea i te taurunga me te tauraro ki te 10.

$$x^{2}=\frac{270}{63}$$

Whakahekea te hautanga \frac{270}{63} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 9.

$$x^{2}=\frac{30}{7}$$

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

$$x=\frac{\sqrt{210}}{7} x=-\frac{\sqrt{210}}{7}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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.

$$6.3x^{2}-27=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 6.3 mō a, 0 mō b, me -27 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 6.3\left(-27\right)}}{2\times 6.3}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 6.3\left(-27\right)}}{2\times 6.3}$$

Whakareatia -4 ki te 6.3.

$$x=\frac{0±\sqrt{-25.2\left(-27\right)}}{2\times 6.3}$$

Whakareatia -25.2 ki te -27.

$$x=\frac{0±\sqrt{680.4}}{2\times 6.3}$$

Tuhia te pūtakerua o te 680.4.

$$x=\frac{0±\frac{9\sqrt{210}}{5}}{2\times 6.3}$$

Whakareatia 2 ki te 6.3.

$$x=\frac{0±\frac{9\sqrt{210}}{5}}{12.6}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{9\sqrt{210}}{5}}{12.6} ina he tāpiri te ±.

$$x=\frac{\sqrt{210}}{7}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{9\sqrt{210}}{5}}{12.6} ina he tango te ±.

$$x=-\frac{\sqrt{210}}{7}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{210}}{7} x=-\frac{\sqrt{210}}{7}$$