Whakaoti i te 44x^2*sqrt{9}=1

$$44 { x }^{ 2 } \times \sqrt{ 9 } =1$$

Whakaoti mō x

$$x=\frac{\sqrt{33}}{66}\approx 0.087038828$$

$$x=-\frac{\sqrt{33}}{66}\approx -0.087038828$$

Ngā Upane mā te Kimi Pūtakerua

Tātaitia te pūtakerua o 9 kia tae ki 3.

$$44x^{2}\times 3=1$$

Whakareatia te 44 ki te 3, ka 132.

$$132x^{2}=1$$

Whakawehea ngā taha e rua ki te 132.

$$x^{2}=\frac{1}{132}$$

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

$$x=\frac{\sqrt{33}}{66} x=-\frac{\sqrt{33}}{66}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tātaitia te pūtakerua o 9 kia tae ki 3.

$$44x^{2}\times 3=1$$

Whakareatia te 44 ki te 3, ka 132.

$$132x^{2}=1$$

Tangohia te 1 mai i ngā taha e rua.

$$132x^{2}-1=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 132 mō a, 0 mō b, me -1 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 132\left(-1\right)}}{2\times 132}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 132\left(-1\right)}}{2\times 132}$$

Whakareatia -4 ki te 132.

$$x=\frac{0±\sqrt{-528\left(-1\right)}}{2\times 132}$$

Whakareatia -528 ki te -1.

$$x=\frac{0±\sqrt{528}}{2\times 132}$$

Tuhia te pūtakerua o te 528.

$$x=\frac{0±4\sqrt{33}}{2\times 132}$$

Whakareatia 2 ki te 132.

$$x=\frac{0±4\sqrt{33}}{264}$$

Nā, me whakaoti te whārite x=\frac{0±4\sqrt{33}}{264} ina he tāpiri te ±.

$$x=\frac{\sqrt{33}}{66}$$

Nā, me whakaoti te whārite x=\frac{0±4\sqrt{33}}{264} ina he tango te ±.

$$x=-\frac{\sqrt{33}}{66}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{33}}{66} x=-\frac{\sqrt{33}}{66}$$