Whakaoti i te y=4x(1-2500/sqrt{996*10^6})-1

$$y=4x(1- \frac{ 2500 }{ \sqrt{ 996 \times { 10 }^{ 6 } } } )-1$$

Whakaoti mō x

$$x=\frac{\left(5\sqrt{249}+996\right)\left(y+1\right)}{3959}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tātaihia te 10 mā te pū o 6, kia riro ko 1000000.

$$y=4x\left(1-\frac{2500}{\sqrt{996\times 1000000}}\right)-1$$

Whakareatia te 996 ki te 1000000, ka 996000000.

$$y=4x\left(1-\frac{2500}{\sqrt{996000000}}\right)-1$$

Tauwehea te 996000000=2000^{2}\times 249. Tuhia anō te pūtake rua o te hua \sqrt{2000^{2}\times 249} hei hua o ngā pūtake rua \sqrt{2000^{2}}\sqrt{249}. Tuhia te pūtakerua o te 2000^{2}.

$$y=4x\left(1-\frac{2500}{2000\sqrt{249}}\right)-1$$

Whakangāwaritia te tauraro o \frac{2500}{2000\sqrt{249}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{249}.

$$y=4x\left(1-\frac{2500\sqrt{249}}{2000\left(\sqrt{249}\right)^{2}}\right)-1$$

Ko te pūrua o \sqrt{249} ko 249.

$$y=4x\left(1-\frac{2500\sqrt{249}}{2000\times 249}\right)-1$$

Me whakakore tahi te 500 i te taurunga me te tauraro.

$$y=4x\left(1-\frac{5\sqrt{249}}{4\times 249}\right)-1$$

Whakareatia te 4 ki te 249, ka 996.

$$y=4x\left(1-\frac{5\sqrt{249}}{996}\right)-1$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4x ki te 1-\frac{5\sqrt{249}}{996}.

$$y=4x+4x\left(-\frac{5\sqrt{249}}{996}\right)-1$$

Whakakorea atu te tauwehe pūnoa nui rawa 996 i roto i te 4 me te 996.

$$y=4x+\frac{5\sqrt{249}}{-249}x-1$$

Tuhia te \frac{5\sqrt{249}}{-249}x hei hautanga kotahi.

$$y=4x+\frac{5\sqrt{249}x}{-249}-1$$

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

$$4x+\frac{5\sqrt{249}x}{-249}-1=y$$

Me tāpiri te 1 ki ngā taha e rua.

$$4x+\frac{5\sqrt{249}x}{-249}=y+1$$

Whakareatia ngā taha e rua o te whārite ki te -249.

$$-996x+5\sqrt{249}x=-249y-249$$

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

$$\left(-996+5\sqrt{249}\right)x=-249y-249$$

He hanga arowhānui tō te whārite.

$$\left(5\sqrt{249}-996\right)x=-249y-249$$

Whakawehea ngā taha e rua ki te -996+5\sqrt{249}.

$$\frac{\left(5\sqrt{249}-996\right)x}{5\sqrt{249}-996}=\frac{-249y-249}{5\sqrt{249}-996}$$

Mā te whakawehe ki te -996+5\sqrt{249} ka wetekia te whakareanga ki te -996+5\sqrt{249}.

$$x=\frac{-249y-249}{5\sqrt{249}-996}$$

Whakawehe -249y-249 ki te -996+5\sqrt{249}.

$$x=\frac{\left(5\sqrt{249}+996\right)\left(y+1\right)}{3959}$$

Whakaoti mō y

$$y=-\frac{5\sqrt{249}x}{249}+4x-1$$