Whakaoti i te 4.9t^2=0.196

$$4.9 t ^ { 2 } = 0.196$$

Whakaoti mō t

$$t=0.2$$

$$t=-0.2$$

Ngā Hipanga Whakamahi Rerekētanga o ngā Pūrua

Whakawehea ngā taha e rua ki te 4.9.

$$t^{2}=\frac{0.196}{4.9}$$

Whakarohaina te \frac{0.196}{4.9} mā te whakarea i te taurunga me te tauraro ki te 1000.

$$t^{2}=\frac{196}{4900}$$

Whakahekea te hautanga \frac{196}{4900} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 196.

$$t^{2}=\frac{1}{25}$$

Tangohia te \frac{1}{25} mai i ngā taha e rua.

$$t^{2}-\frac{1}{25}=0$$

Me whakarea ngā taha e rua ki te 25.

$$25t^{2}-1=0$$

Whakaarohia te 25t^{2}-1. Tuhia anō te 25t^{2}-1 hei \left(5t\right)^{2}-1^{2}. Ka taea te rerekētanga o ngā pūrua te whakatauwehe mā te ture: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(5t-1\right)\left(5t+1\right)=0$$

Hei kimi otinga whārite, me whakaoti te 5t-1=0 me te 5t+1=0.

$$t=\frac{1}{5} t=-\frac{1}{5}$$

Ngā Upane mā te Kimi Pūtakerua

Whakawehea ngā taha e rua ki te 4.9.

$$t^{2}=\frac{0.196}{4.9}$$

Whakarohaina te \frac{0.196}{4.9} mā te whakarea i te taurunga me te tauraro ki te 1000.

$$t^{2}=\frac{196}{4900}$$

Whakahekea te hautanga \frac{196}{4900} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 196.

$$t^{2}=\frac{1}{25}$$

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

$$t=\frac{1}{5} t=-\frac{1}{5}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakawehea ngā taha e rua ki te 4.9.

$$t^{2}=\frac{0.196}{4.9}$$

Whakarohaina te \frac{0.196}{4.9} mā te whakarea i te taurunga me te tauraro ki te 1000.

$$t^{2}=\frac{196}{4900}$$

Whakahekea te hautanga \frac{196}{4900} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 196.

$$t^{2}=\frac{1}{25}$$

Tangohia te \frac{1}{25} mai i ngā taha e rua.

$$t^{2}-\frac{1}{25}=0$$

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

$$t=\frac{0±\sqrt{0^{2}-4\left(-\frac{1}{25}\right)}}{2}$$

Pūrua 0.

$$t=\frac{0±\sqrt{-4\left(-\frac{1}{25}\right)}}{2}$$

Whakareatia -4 ki te -\frac{1}{25}.

$$t=\frac{0±\sqrt{\frac{4}{25}}}{2}$$

Tuhia te pūtakerua o te \frac{4}{25}.

$$t=\frac{0±\frac{2}{5}}{2}$$

Nā, me whakaoti te whārite t=\frac{0±\frac{2}{5}}{2} ina he tāpiri te ±.

$$t=\frac{1}{5}$$

Nā, me whakaoti te whārite t=\frac{0±\frac{2}{5}}{2} ina he tango te ±.

$$t=-\frac{1}{5}$$

Kua oti te whārite te whakatau.

$$t=\frac{1}{5} t=-\frac{1}{5}$$