Whakaoti i te sqrt{3}(x-20)=40+x

$$\sqrt { 3 } ( x - 20 ) = 40 + x$$

Whakaoti mō x

$$x=30\sqrt{3}+50\approx 101.961524227$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te \sqrt{3} ki te x-20.

$$\sqrt{3}x-20\sqrt{3}=40+x$$

Tangohia te x mai i ngā taha e rua.

$$\sqrt{3}x-20\sqrt{3}-x=40$$

Me tāpiri te 20\sqrt{3} ki ngā taha e rua.

$$\sqrt{3}x-x=40+20\sqrt{3}$$

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

$$\left(\sqrt{3}-1\right)x=40+20\sqrt{3}$$

He hanga arowhānui tō te whārite.

$$\left(\sqrt{3}-1\right)x=20\sqrt{3}+40$$

Whakawehea ngā taha e rua ki te \sqrt{3}-1.

$$\frac{\left(\sqrt{3}-1\right)x}{\sqrt{3}-1}=\frac{20\sqrt{3}+40}{\sqrt{3}-1}$$

Mā te whakawehe ki te \sqrt{3}-1 ka wetekia te whakareanga ki te \sqrt{3}-1.

$$x=\frac{20\sqrt{3}+40}{\sqrt{3}-1}$$

Whakawehe 40+20\sqrt{3} ki te \sqrt{3}-1.

$$x=30\sqrt{3}+50$$