Whakaoti i te 6x^2+1=8

$$6 x ^ { 2 } + 1 = 8$$

Whakaoti mō x

$$x = \frac{\sqrt{42}}{6} \approx 1.08012345$$

$$x = -\frac{\sqrt{42}}{6} \approx -1.08012345$$

Ngā Upane mā te Kimi Pūtakerua

Tangohia te 1 mai i ngā taha e rua.

$$6x^{2}=8-1$$

Tangohia te 1 i te 8, ka 7.

$$6x^{2}=7$$

Whakawehea ngā taha e rua ki te 6.

$$x^{2}=\frac{7}{6}$$

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

$$x=\frac{\sqrt{42}}{6} x=-\frac{\sqrt{42}}{6}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 8 mai i ngā taha e rua.

$$6x^{2}+1-8=0$$

Tangohia te 8 i te 1, ka -7.

$$6x^{2}-7=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 6 mō a, 0 mō b, me -7 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 6\left(-7\right)}}{2\times 6}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 6\left(-7\right)}}{2\times 6}$$

Whakareatia -4 ki te 6.

$$x=\frac{0±\sqrt{-24\left(-7\right)}}{2\times 6}$$

Whakareatia -24 ki te -7.

$$x=\frac{0±\sqrt{168}}{2\times 6}$$

Tuhia te pūtakerua o te 168.

$$x=\frac{0±2\sqrt{42}}{2\times 6}$$

Whakareatia 2 ki te 6.

$$x=\frac{0±2\sqrt{42}}{12}$$

Nā, me whakaoti te whārite x=\frac{0±2\sqrt{42}}{12} ina he tāpiri te ±.

$$x=\frac{\sqrt{42}}{6}$$

Nā, me whakaoti te whārite x=\frac{0±2\sqrt{42}}{12} ina he tango te ±.

$$x=-\frac{\sqrt{42}}{6}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{42}}{6} x=-\frac{\sqrt{42}}{6}$$