Whakaoti i te 100sqrt{3}+sqrt{3}x=4x

$$100 \sqrt{ 3 } + \sqrt{ 3 } x=4x$$

Whakaoti mō x

$$x = \frac{400 \sqrt{3} + 300}{13} \approx 76.370794079$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 4x mai i ngā taha e rua.

$$100\sqrt{3}+\sqrt{3}x-4x=0$$

Tangohia te 100\sqrt{3} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$\sqrt{3}x-4x=-100\sqrt{3}$$

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

$$\left(\sqrt{3}-4\right)x=-100\sqrt{3}$$

Whakawehea ngā taha e rua ki te \sqrt{3}-4.

$$\frac{\left(\sqrt{3}-4\right)x}{\sqrt{3}-4}=-\frac{100\sqrt{3}}{\sqrt{3}-4}$$

Mā te whakawehe ki te \sqrt{3}-4 ka wetekia te whakareanga ki te \sqrt{3}-4.

$$x=-\frac{100\sqrt{3}}{\sqrt{3}-4}$$

Whakawehe -100\sqrt{3} ki te \sqrt{3}-4.

$$x=\frac{400\sqrt{3}+300}{13}$$