Whakaoti i te 12x^2-5-2=0

$$12 x ^ { 2 } - 5 - 2 = 0$$

Whakaoti mō x

$$x=\frac{\sqrt{21}}{6}\approx 0.763762616$$

$$x=-\frac{\sqrt{21}}{6}\approx -0.763762616$$

Ngā Upane mā te Kimi Pūtakerua

Tangohia te 2 i te -5, ka -7.

$$12x^{2}-7=0$$

Me tāpiri te 7 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$12x^{2}=7$$

Whakawehea ngā taha e rua ki te 12.

$$x^{2}=\frac{7}{12}$$

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

$$x=\frac{\sqrt{21}}{6} x=-\frac{\sqrt{21}}{6}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 2 i te -5, ka -7.

$$12x^{2}-7=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 12 mō a, 0 mō b, me -7 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 12\left(-7\right)}}{2\times 12}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 12\left(-7\right)}}{2\times 12}$$

Whakareatia -4 ki te 12.

$$x=\frac{0±\sqrt{-48\left(-7\right)}}{2\times 12}$$

Whakareatia -48 ki te -7.

$$x=\frac{0±\sqrt{336}}{2\times 12}$$

Tuhia te pūtakerua o te 336.

$$x=\frac{0±4\sqrt{21}}{2\times 12}$$

Whakareatia 2 ki te 12.

$$x=\frac{0±4\sqrt{21}}{24}$$

Nā, me whakaoti te whārite x=\frac{0±4\sqrt{21}}{24} ina he tāpiri te ±.

$$x=\frac{\sqrt{21}}{6}$$

Nā, me whakaoti te whārite x=\frac{0±4\sqrt{21}}{24} ina he tango te ±.

$$x=-\frac{\sqrt{21}}{6}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{21}}{6} x=-\frac{\sqrt{21}}{6}$$