Whakaoti i te 250v^2=241960

$$250 v ^ { 2 } = 241960$$

Whakaoti mō v

$$v = \frac{2 \sqrt{6049}}{5} \approx 31.110126969$$

$$v = -\frac{2 \sqrt{6049}}{5} \approx -31.110126969$$

Ngā Upane mā te Kimi Pūtakerua

Whakawehea ngā taha e rua ki te 250.

$$v^{2}=\frac{241960}{250}$$

Whakahekea te hautanga \frac{241960}{250} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$v^{2}=\frac{24196}{25}$$

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

$$v=\frac{2\sqrt{6049}}{5} v=-\frac{2\sqrt{6049}}{5}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakawehea ngā taha e rua ki te 250.

$$v^{2}=\frac{241960}{250}$$

Whakahekea te hautanga \frac{241960}{250} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$v^{2}=\frac{24196}{25}$$

Tangohia te \frac{24196}{25} mai i ngā taha e rua.

$$v^{2}-\frac{24196}{25}=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -\frac{24196}{25} mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$v=\frac{0±\sqrt{0^{2}-4\left(-\frac{24196}{25}\right)}}{2}$$

Pūrua 0.

$$v=\frac{0±\sqrt{-4\left(-\frac{24196}{25}\right)}}{2}$$

Whakareatia -4 ki te -\frac{24196}{25}.

$$v=\frac{0±\sqrt{\frac{96784}{25}}}{2}$$

Tuhia te pūtakerua o te \frac{96784}{25}.

$$v=\frac{0±\frac{4\sqrt{6049}}{5}}{2}$$

Nā, me whakaoti te whārite v=\frac{0±\frac{4\sqrt{6049}}{5}}{2} ina he tāpiri te ±.

$$v=\frac{2\sqrt{6049}}{5}$$

Nā, me whakaoti te whārite v=\frac{0±\frac{4\sqrt{6049}}{5}}{2} ina he tango te ±.

$$v=-\frac{2\sqrt{6049}}{5}$$

Kua oti te whārite te whakatau.

$$v=\frac{2\sqrt{6049}}{5} v=-\frac{2\sqrt{6049}}{5}$$