Whakaoti i te 6x^2+18=19

$$6 { x }^{ 2 } +18 = 19$$

Whakaoti mō x

$$x=\frac{\sqrt{6}}{6}\approx 0.40824829$$

$$x=-\frac{\sqrt{6}}{6}\approx -0.40824829$$

Ngā Upane mā te Kimi Pūtakerua

Tangohia te 18 mai i ngā taha e rua.

$$6x^{2}=19-18$$

Tangohia te 18 i te 19, ka 1.

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

Whakawehea ngā taha e rua ki te 6.

$$x^{2}=\frac{1}{6}$$

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

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

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 19 mai i ngā taha e rua.

$$6x^{2}+18-19=0$$

Tangohia te 19 i te 18, ka -1.

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

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 6 mō a, 0 mō b, me -1 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 6\left(-1\right)}}{2\times 6}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 6\left(-1\right)}}{2\times 6}$$

Whakareatia -4 ki te 6.

$$x=\frac{0±\sqrt{-24\left(-1\right)}}{2\times 6}$$

Whakareatia -24 ki te -1.

$$x=\frac{0±\sqrt{24}}{2\times 6}$$

Tuhia te pūtakerua o te 24.

$$x=\frac{0±2\sqrt{6}}{2\times 6}$$

Whakareatia 2 ki te 6.

$$x=\frac{0±2\sqrt{6}}{12}$$

Nā, me whakaoti te whārite x=\frac{0±2\sqrt{6}}{12} ina he tāpiri te ±.

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

Nā, me whakaoti te whārite x=\frac{0±2\sqrt{6}}{12} ina he tango te ±.

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

Kua oti te whārite te whakatau.

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