Whakaoti i te 3+x/sqrt{3}=111x-3

$$3 + \frac { x } { \sqrt { 3 } } = 111 x - 3$$

Whakaoti mō x

$$x=\frac{3\left(\sqrt{3}+333\right)}{18481}\approx 0.054336678$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakangāwaritia te tauraro o \frac{x}{\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

$$3+\frac{x\sqrt{3}}{\left(\sqrt{3}\right)^{2}}=111x-3$$

Ko te pūrua o \sqrt{3} ko 3.

$$3+\frac{x\sqrt{3}}{3}=111x-3$$

Tangohia te 111x mai i ngā taha e rua.

$$3+\frac{x\sqrt{3}}{3}-111x=-3$$

Tangohia te 3 mai i ngā taha e rua.

$$\frac{x\sqrt{3}}{3}-111x=-3-3$$

Tangohia te 3 i te -3, ka -6.

$$\frac{x\sqrt{3}}{3}-111x=-6$$

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

$$x\sqrt{3}-333x=-18$$

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

$$\left(\sqrt{3}-333\right)x=-18$$

Whakawehea ngā taha e rua ki te \sqrt{3}-333.

$$\frac{\left(\sqrt{3}-333\right)x}{\sqrt{3}-333}=-\frac{18}{\sqrt{3}-333}$$

Mā te whakawehe ki te \sqrt{3}-333 ka wetekia te whakareanga ki te \sqrt{3}-333.

$$x=-\frac{18}{\sqrt{3}-333}$$

Whakawehe -18 ki te \sqrt{3}-333.

$$x=\frac{3\sqrt{3}+999}{18481}$$