Whakaoti i te w^2=10w

$$w ^ { 2 } = 10 w$$

Whakaoti mō w

$$w=10$$

$$w=0$$

Ngā Upane Whakamahi Tauwehe

Tangohia te 10w mai i ngā taha e rua.

$$w^{2}-10w=0$$

Tauwehea te w.

$$w\left(w-10\right)=0$$

Hei kimi otinga whārite, me whakaoti te w=0 me te w-10=0.

$$w=0 w=10$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 10w mai i ngā taha e rua.

$$w^{2}-10w=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, -10 mō b, me 0 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$w=\frac{-\left(-10\right)±\sqrt{\left(-10\right)^{2}}}{2}$$

Tuhia te pūtakerua o te \left(-10\right)^{2}.

$$w=\frac{-\left(-10\right)±10}{2}$$

Ko te tauaro o -10 ko 10.

$$w=\frac{10±10}{2}$$

Nā, me whakaoti te whārite w=\frac{10±10}{2} ina he tāpiri te ±. Tāpiri 10 ki te 10.

$$w=\frac{20}{2}$$

Whakawehe 20 ki te 2.

$$w=10$$

Nā, me whakaoti te whārite w=\frac{10±10}{2} ina he tango te ±. Tango 10 mai i 10.

$$w=\frac{0}{2}$$

Whakawehe 0 ki te 2.

$$w=0$$

Kua oti te whārite te whakatau.

$$w=10 w=0$$

Ngā Upane mō te Whakaoti i te Pūrua

Tangohia te 10w mai i ngā taha e rua.

$$w^{2}-10w=0$$

Whakawehea te -10, te tau whakarea o te kīanga tau x, ki te 2 kia riro ai te -5. Nā, tāpiria te pūrua o te -5 ki ngā taha e rua o te whārite. Mā konei e pūrua tika tonu ai te taha mauī o te whārite.

$$w^{2}-10w+\left(-5\right)^{2}=\left(-5\right)^{2}$$

Pūrua -5.

$$w^{2}-10w+25=25$$

Tauwehea w^{2}-10w+25. Ko te tikanga pūnoa, ina ko x^{2}+bx+c he pūrua tika pūrua tika pū, ka taea taua mea te tauwehea i ngā wā katoa hei \left(x+\frac{b}{2}\right)^{2}.

$$\left(w-5\right)^{2}=25$$

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

$$\sqrt{\left(w-5\right)^{2}}=\sqrt{25}$$

Whakarūnātia.

$$w-5=5 w-5=-5$$

Me tāpiri 5 ki ngā taha e rua o te whārite.

$$w=10 w=0$$