Whakaoti i te P(x)=xP=80x-01x^2-(500+20x)

$$P ( x ) = x P = 80 x - 01 x ^ { 2 } - ( 500 + 20 x )$$

Whakaoti mō P

$$P=60-\frac{500}{x}$$

$$x\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 0 ki te 1, ka 0.

$$xP=80x-0x^{2}-\left(500+20x\right)$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$xP=80x-0-\left(500+20x\right)$$

Hei kimi i te tauaro o 500+20x, kimihia te tauaro o ia taurangi.

$$xP=80x-0-500-20x$$

Whakaraupapatia anō ngā kīanga tau.

$$Px=-20x+80x-500$$

Pahekotia te -20x me 80x, ka 60x.

$$Px=60x-500$$

He hanga arowhānui tō te whārite.

$$xP=60x-500$$

Whakawehea ngā taha e rua ki te x.

$$\frac{xP}{x}=\frac{60x-500}{x}$$

Mā te whakawehe ki te x ka wetekia te whakareanga ki te x.

$$P=\frac{60x-500}{x}$$

Whakawehe 60x-500 ki te x.

$$P=60-\frac{500}{x}$$

Whakaoti mō x

$$x=-\frac{500}{P-60}$$

$$P\neq 60$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 0 ki te 1, ka 0.

$$xP=80x-0x^{2}-\left(500+20x\right)$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$xP=80x-0-\left(500+20x\right)$$

Hei kimi i te tauaro o 500+20x, kimihia te tauaro o ia taurangi.

$$xP=80x-0-500-20x$$

Tangohia te 80x-0 mai i ngā taha e rua.

$$xP-\left(80x-0\right)=-500-20x$$

Me tāpiri te 20x ki ngā taha e rua.

$$xP-\left(80x-0\right)+20x=-500$$

Whakaraupapatia anō ngā kīanga tau.

$$Px-80x+20x=-500$$

Pahekotia te -80x me 20x, ka -60x.

$$Px-60x=-500$$

Pahekotia ngā kīanga tau katoa e whai ana i te x.

$$\left(P-60\right)x=-500$$

Whakawehea ngā taha e rua ki te P-60.

$$\frac{\left(P-60\right)x}{P-60}=-\frac{500}{P-60}$$

Mā te whakawehe ki te P-60 ka wetekia te whakareanga ki te P-60.

$$x=-\frac{500}{P-60}$$