Whakaoti i te 3x=4sqrt{3}+sqrt{3}x

$$3 x = 4 \sqrt { 3 } + \sqrt { 3 } x$$

Whakaoti mō x

$$x=2\left(\sqrt{3}+1\right)\approx 5.464101615$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te \sqrt{3}x mai i ngā taha e rua.

$$3x-\sqrt{3}x=4\sqrt{3}$$

Whakaraupapatia anō ngā kīanga tau.

$$-\sqrt{3}x+3x=4\sqrt{3}$$

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

$$\left(-\sqrt{3}+3\right)x=4\sqrt{3}$$

He hanga arowhānui tō te whārite.

$$\left(3-\sqrt{3}\right)x=4\sqrt{3}$$

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

$$\frac{\left(3-\sqrt{3}\right)x}{3-\sqrt{3}}=\frac{4\sqrt{3}}{3-\sqrt{3}}$$

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

$$x=\frac{4\sqrt{3}}{3-\sqrt{3}}$$

Whakawehe 4\sqrt{3} ki te -\sqrt{3}+3.

$$x=2\sqrt{3}+2$$