Whakaoti i te sqrt{3}X-x-4/tan36^circ=164

$$\sqrt { 3 } X - \frac { x - 4 } { \tan 36 ^ { \circ } } = 164$$

Whakaoti mō X

$$X=\frac{4\sqrt{3}\left(312500000000000x+35985304560274741\right)}{2724534480020103}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Evaluate trigonometric functions in the problem

$$\sqrt{3} X - \frac{x - 4}{0.7265425280053608} = 164$$

Whakawehea ia wā o x-4 ki te 0.7265425280053608, kia riro ko \frac{x}{0.7265425280053608}+\frac{-4}{0.7265425280053608}.

$$\sqrt{3}X-\left(\frac{x}{0.7265425280053608}+\frac{-4}{0.7265425280053608}\right)=164$$

Whakarohaina te \frac{-4}{0.7265425280053608} mā te whakarea i te taurunga me te tauraro ki te 10000000000000000.

$$\sqrt{3}X-\left(\frac{x}{0.7265425280053608}+\frac{-40000000000000000}{7265425280053608}\right)=164$$

Whakahekea te hautanga \frac{-40000000000000000}{7265425280053608} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

$$\sqrt{3}X-\left(\frac{x}{0.7265425280053608}-\frac{5000000000000000}{908178160006701}\right)=164$$

Hei kimi i te tauaro o \frac{x}{0.7265425280053608}-\frac{5000000000000000}{908178160006701}, kimihia te tauaro o ia taurangi.

$$\sqrt{3}X-\frac{x}{0.7265425280053608}+\frac{5000000000000000}{908178160006701}=164$$

Me tāpiri te \frac{x}{0.7265425280053608} ki ngā taha e rua.

$$\sqrt{3}X+\frac{5000000000000000}{908178160006701}=164+\frac{x}{0.7265425280053608}$$

Tangohia te \frac{5000000000000000}{908178160006701} mai i ngā taha e rua.

$$\sqrt{3}X=164+\frac{x}{0.7265425280053608}-\frac{5000000000000000}{908178160006701}$$

Tangohia te \frac{5000000000000000}{908178160006701} i te 164, ka \frac{143941218241098964}{908178160006701}.

$$\sqrt{3}X=\frac{143941218241098964}{908178160006701}+\frac{x}{0.7265425280053608}$$

He hanga arowhānui tō te whārite.

$$\sqrt{3}X=\frac{1250000000000000x+143941218241098964}{908178160006701}$$

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

$$\frac{\sqrt{3}X}{\sqrt{3}}=\frac{1250000000000000x+143941218241098964}{908178160006701\sqrt{3}}$$

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

$$X=\frac{1250000000000000x+143941218241098964}{908178160006701\sqrt{3}}$$

Whakawehe \frac{143941218241098964+1250000000000000x}{908178160006701} ki te \sqrt{3}.

$$X=\frac{4\sqrt{3}\left(312500000000000x+35985304560274741\right)}{2724534480020103}$$

Whakaoti mō x

$$x=\frac{908178160006701\sqrt{3}X}{1250000000000000}-115.1529745928791712$$