Whakaoti i te 1000/x12=1600/x+3

$$\frac{ 1000 }{ x } 12 = \frac{ 1600 }{ x+3 }$$

Whakaoti mō x

$$x = -\frac{45}{13} = -3\frac{6}{13} \approx -3.461538462$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki tētahi o ngā uara -3,0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te x\left(x+3\right), arā, te tauraro pātahi he tino iti rawa te kitea o x,x+3.

$$\left(x+3\right)\times 1000\times 12=x\times 1600$$

Whakareatia te 1000 ki te 12, ka 12000.

$$\left(x+3\right)\times 12000=x\times 1600$$

Whakamahia te āhuatanga tohatoha hei whakarea te x+3 ki te 12000.

$$12000x+36000=x\times 1600$$

Tangohia te x\times 1600 mai i ngā taha e rua.

$$12000x+36000-x\times 1600=0$$

Pahekotia te 12000x me -x\times 1600, ka 10400x.

$$10400x+36000=0$$

Tangohia te 36000 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$10400x=-36000$$

Whakawehea ngā taha e rua ki te 10400.

$$x=\frac{-36000}{10400}$$

Whakahekea te hautanga \frac{-36000}{10400} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 800.

$$x=-\frac{45}{13}$$