Whakaoti i te (1/2)200t^2=10.000

$$( 1 / 2 ) 200 t ^ { 2 } = 10.000$$

Whakaoti mō t

$$t=\frac{\sqrt{10}}{10}\approx 0.316227766$$

$$t=-\frac{\sqrt{10}}{10}\approx -0.316227766$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia te \frac{1}{2} ki te 200, ka 100.

$$100t^{2}=10$$

Whakawehea ngā taha e rua ki te 100.

$$t^{2}=\frac{10}{100}$$

Whakahekea te hautanga \frac{10}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$t^{2}=\frac{1}{10}$$

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

$$t=\frac{\sqrt{10}}{10} t=-\frac{\sqrt{10}}{10}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia te \frac{1}{2} ki te 200, ka 100.

$$100t^{2}=10$$

Tangohia te 10 mai i ngā taha e rua.

$$100t^{2}-10=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 100 mō a, 0 mō b, me -10 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$t=\frac{0±\sqrt{0^{2}-4\times 100\left(-10\right)}}{2\times 100}$$

Pūrua 0.

$$t=\frac{0±\sqrt{-4\times 100\left(-10\right)}}{2\times 100}$$

Whakareatia -4 ki te 100.

$$t=\frac{0±\sqrt{-400\left(-10\right)}}{2\times 100}$$

Whakareatia -400 ki te -10.

$$t=\frac{0±\sqrt{4000}}{2\times 100}$$

Tuhia te pūtakerua o te 4000.

$$t=\frac{0±20\sqrt{10}}{2\times 100}$$

Whakareatia 2 ki te 100.

$$t=\frac{0±20\sqrt{10}}{200}$$

Nā, me whakaoti te whārite t=\frac{0±20\sqrt{10}}{200} ina he tāpiri te ±.

$$t=\frac{\sqrt{10}}{10}$$

Nā, me whakaoti te whārite t=\frac{0±20\sqrt{10}}{200} ina he tango te ±.

$$t=-\frac{\sqrt{10}}{10}$$

Kua oti te whārite te whakatau.

$$t=\frac{\sqrt{10}}{10} t=-\frac{\sqrt{10}}{10}$$