Whakaoti i te (frac{sqrt{3}}{3}+1)x=100

$$( \frac { \sqrt { 3 } } { 3 } + 1 ) x = 100$$

Whakaoti mō x

$$x=150-50\sqrt{3}\approx 63.397459622$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te 3.

$$3\left(\frac{\sqrt{3}}{3}+1\right)x=300$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te \frac{\sqrt{3}}{3}+1.

$$\left(3\times \frac{\sqrt{3}}{3}+3\right)x=300$$

Tuhia te 3\times \frac{\sqrt{3}}{3} hei hautanga kotahi.

$$\left(\frac{3\sqrt{3}}{3}+3\right)x=300$$

Me whakakore te 3 me te 3.

$$\left(\sqrt{3}+3\right)x=300$$

Whakawehea ngā taha e rua ki te \sqrt{3}+3.

$$\frac{\left(\sqrt{3}+3\right)x}{\sqrt{3}+3}=\frac{300}{\sqrt{3}+3}$$

Mā te whakawehe ki te \sqrt{3}+3 ka wetekia te whakareanga ki te \sqrt{3}+3.

$$x=\frac{300}{\sqrt{3}+3}$$

Whakawehe 300 ki te \sqrt{3}+3.

$$x=150-50\sqrt{3}$$