Whakaoti i te 5x*5x=10

$$5x \times 5x=10$$

Whakaoti mō x

$$x=\frac{\sqrt{10}}{5}\approx 0.632455532$$

$$x=-\frac{\sqrt{10}}{5}\approx -0.632455532$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia te x ki te x, ka x^{2}.

$$5x^{2}\times 5=10$$

Whakareatia te 5 ki te 5, ka 25.

$$25x^{2}=10$$

Whakawehea ngā taha e rua ki te 25.

$$x^{2}=\frac{10}{25}$$

Whakahekea te hautanga \frac{10}{25} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$x^{2}=\frac{2}{5}$$

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

$$x=\frac{\sqrt{10}}{5} x=-\frac{\sqrt{10}}{5}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia te x ki te x, ka x^{2}.

$$5x^{2}\times 5=10$$

Whakareatia te 5 ki te 5, ka 25.

$$25x^{2}=10$$

Tangohia te 10 mai i ngā taha e rua.

$$25x^{2}-10=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 25 mō a, 0 mō b, me -10 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 25\left(-10\right)}}{2\times 25}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 25\left(-10\right)}}{2\times 25}$$

Whakareatia -4 ki te 25.

$$x=\frac{0±\sqrt{-100\left(-10\right)}}{2\times 25}$$

Whakareatia -100 ki te -10.

$$x=\frac{0±\sqrt{1000}}{2\times 25}$$

Tuhia te pūtakerua o te 1000.

$$x=\frac{0±10\sqrt{10}}{2\times 25}$$

Whakareatia 2 ki te 25.

$$x=\frac{0±10\sqrt{10}}{50}$$

Nā, me whakaoti te whārite x=\frac{0±10\sqrt{10}}{50} ina he tāpiri te ±.

$$x=\frac{\sqrt{10}}{5}$$

Nā, me whakaoti te whārite x=\frac{0±10\sqrt{10}}{50} ina he tango te ±.

$$x=-\frac{\sqrt{10}}{5}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{10}}{5} x=-\frac{\sqrt{10}}{5}$$