Whakaoti i te 5w*w=405

$$5 w \times w = 405$$

Whakaoti mō w

$$w=9$$

$$w=-9$$

Ngā Upane mā te Kimi Pūtakerua

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

$$5w^{2}=405$$

Whakawehea ngā taha e rua ki te 5.

$$w^{2}=\frac{405}{5}$$

Whakawehea te 405 ki te 5, kia riro ko 81.

$$w^{2}=81$$

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

$$w=9 w=-9$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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

$$5w^{2}=405$$

Tangohia te 405 mai i ngā taha e rua.

$$5w^{2}-405=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 5 mō a, 0 mō b, me -405 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$w=\frac{0±\sqrt{0^{2}-4\times 5\left(-405\right)}}{2\times 5}$$

Pūrua 0.

$$w=\frac{0±\sqrt{-4\times 5\left(-405\right)}}{2\times 5}$$

Whakareatia -4 ki te 5.

$$w=\frac{0±\sqrt{-20\left(-405\right)}}{2\times 5}$$

Whakareatia -20 ki te -405.

$$w=\frac{0±\sqrt{8100}}{2\times 5}$$

Tuhia te pūtakerua o te 8100.

$$w=\frac{0±90}{2\times 5}$$

Whakareatia 2 ki te 5.

$$w=\frac{0±90}{10}$$

Nā, me whakaoti te whārite w=\frac{0±90}{10} ina he tāpiri te ±. Whakawehe 90 ki te 10.

$$w=9$$

Nā, me whakaoti te whārite w=\frac{0±90}{10} ina he tango te ±. Whakawehe -90 ki te 10.

$$w=-9$$

Kua oti te whārite te whakatau.

$$w=9 w=-9$$