Whakaoti i te y^2=18y

$$y ^ { 2 } = 18 y$$

Whakaoti mō y

$$y=18$$

$$y=0$$

Ngā Upane Whakamahi Tauwehe

Tangohia te 18y mai i ngā taha e rua.

$$y^{2}-18y=0$$

Tauwehea te y.

$$y\left(y-18\right)=0$$

Hei kimi otinga whārite, me whakaoti te y=0 me te y-18=0.

$$y=0 y=18$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 18y mai i ngā taha e rua.

$$y^{2}-18y=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, -18 mō b, me 0 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$y=\frac{-\left(-18\right)±\sqrt{\left(-18\right)^{2}}}{2}$$

Tuhia te pūtakerua o te \left(-18\right)^{2}.

$$y=\frac{-\left(-18\right)±18}{2}$$

Ko te tauaro o -18 ko 18.

$$y=\frac{18±18}{2}$$

Nā, me whakaoti te whārite y=\frac{18±18}{2} ina he tāpiri te ±. Tāpiri 18 ki te 18.

$$y=\frac{36}{2}$$

Whakawehe 36 ki te 2.

$$y=18$$

Nā, me whakaoti te whārite y=\frac{18±18}{2} ina he tango te ±. Tango 18 mai i 18.

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

Whakawehe 0 ki te 2.

$$y=0$$

Kua oti te whārite te whakatau.

$$y=18 y=0$$

Ngā Upane mō te Whakaoti i te Pūrua

Tangohia te 18y mai i ngā taha e rua.

$$y^{2}-18y=0$$

Whakawehea te -18, te tau whakarea o te kīanga tau x, ki te 2 kia riro ai te -9. Nā, tāpiria te pūrua o te -9 ki ngā taha e rua o te whārite. Mā konei e pūrua tika tonu ai te taha mauī o te whārite.

$$y^{2}-18y+\left(-9\right)^{2}=\left(-9\right)^{2}$$

Pūrua -9.

$$y^{2}-18y+81=81$$

Tauwehea y^{2}-18y+81. 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}.

$$\left(y-9\right)^{2}=81$$

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

$$\sqrt{\left(y-9\right)^{2}}=\sqrt{81}$$

Whakarūnātia.

$$y-9=9 y-9=-9$$

Me tāpiri 9 ki ngā taha e rua o te whārite.

$$y=18 y=0$$