Whakaoti i te 36/xy*25=y/36x

$$\frac{ 36 }{ xy } \times 25= \frac{ y }{ 36x }$$

Whakaoti mō y

$$y=-180$$

$$y=180\text{, }x\neq 0$$

Ngā Upane mā te Kimi Pūtakerua

Tē taea kia ōrite te tāupe y ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 36xy, arā, te tauraro pātahi he tino iti rawa te kitea o xy,36x.

$$36\times 36\times 25=yy$$

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

$$36\times 36\times 25=y^{2}$$

Whakareatia te 36 ki te 36, ka 1296.

$$1296\times 25=y^{2}$$

Whakareatia te 1296 ki te 25, ka 32400.

$$32400=y^{2}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$y^{2}=32400$$

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

$$y=180 y=-180$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tē taea kia ōrite te tāupe y ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 36xy, arā, te tauraro pātahi he tino iti rawa te kitea o xy,36x.

$$36\times 36\times 25=yy$$

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

$$36\times 36\times 25=y^{2}$$

Whakareatia te 36 ki te 36, ka 1296.

$$1296\times 25=y^{2}$$

Whakareatia te 1296 ki te 25, ka 32400.

$$32400=y^{2}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$y^{2}=32400$$

Tangohia te 32400 mai i ngā taha e rua.

$$y^{2}-32400=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -32400 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$y=\frac{0±\sqrt{0^{2}-4\left(-32400\right)}}{2}$$

Pūrua 0.

$$y=\frac{0±\sqrt{-4\left(-32400\right)}}{2}$$

Whakareatia -4 ki te -32400.

$$y=\frac{0±\sqrt{129600}}{2}$$

Tuhia te pūtakerua o te 129600.

$$y=\frac{0±360}{2}$$

Nā, me whakaoti te whārite y=\frac{0±360}{2} ina he tāpiri te ±. Whakawehe 360 ki te 2.

$$y=180$$

Nā, me whakaoti te whārite y=\frac{0±360}{2} ina he tango te ±. Whakawehe -360 ki te 2.

$$y=-180$$

Kua oti te whārite te whakatau.

$$y=180 y=-180$$

Whakaoti mō x (complex solution)

$$x\neq 0$$

$$y=-180\text{ or }y=180$$

Whakaoti mō x

$$x\neq 0$$

$$|y|=180$$