Whakaoti i te 5w*w=245

$$5 w \cdot w = 245$$

Whakaoti mō w

$$w=7$$

$$w=-7$$

Ngā Upane mā te Kimi Pūtakerua

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

$$5w^{2}=245$$

Whakawehea ngā taha e rua ki te 5.

$$w^{2}=\frac{245}{5}$$

Whakawehea te 245 ki te 5, kia riro ko 49.

$$w^{2}=49$$

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

$$w=7 w=-7$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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

$$5w^{2}=245$$

Tangohia te 245 mai i ngā taha e rua.

$$5w^{2}-245=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 5 mō a, 0 mō b, me -245 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$w=\frac{0±\sqrt{0^{2}-4\times 5\left(-245\right)}}{2\times 5}$$

Pūrua 0.

$$w=\frac{0±\sqrt{-4\times 5\left(-245\right)}}{2\times 5}$$

Whakareatia -4 ki te 5.

$$w=\frac{0±\sqrt{-20\left(-245\right)}}{2\times 5}$$

Whakareatia -20 ki te -245.

$$w=\frac{0±\sqrt{4900}}{2\times 5}$$

Tuhia te pūtakerua o te 4900.

$$w=\frac{0±70}{2\times 5}$$

Whakareatia 2 ki te 5.

$$w=\frac{0±70}{10}$$

Nā, me whakaoti te whārite w=\frac{0±70}{10} ina he tāpiri te ±. Whakawehe 70 ki te 10.

$$w=7$$

Nā, me whakaoti te whārite w=\frac{0±70}{10} ina he tango te ±. Whakawehe -70 ki te 10.

$$w=-7$$

Kua oti te whārite te whakatau.

$$w=7 w=-7$$