Lutasin ang sqrt{3}X-x-4/tan36^circ=164

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

I-solve ang X

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

Mga Hakbang sa Pagso-solve ng Linear Equation

Evaluate trigonometric functions in the problem

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

Hati-hatiin ang bawat termino ng x-4 sa 0.7265425280053608 para makuha ang \frac{x}{0.7265425280053608}+\frac{-4}{0.7265425280053608}.

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

I-expand ang \frac{-4}{0.7265425280053608} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 10000000000000000.

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

Bawasan ang fraction \frac{-40000000000000000}{7265425280053608} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 8.

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

Para hanapin ang kabaligtaran ng \frac{x}{0.7265425280053608}-\frac{5000000000000000}{908178160006701}, hanapin ang kabaligtaran ng bawat term.

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

Idagdag ang \frac{x}{0.7265425280053608} sa parehong bahagi.

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

I-subtract ang \frac{5000000000000000}{908178160006701} mula sa magkabilang dulo.

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

I-subtract ang \frac{5000000000000000}{908178160006701} mula sa 164 para makuha ang \frac{143941218241098964}{908178160006701}.

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

Ang equation ay nasa standard form.

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

I-divide ang magkabilang dulo ng equation gamit ang \sqrt{3}.

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

Kapag na-divide gamit ang \sqrt{3}, ma-a-undo ang multiplication gamit ang \sqrt{3}.

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

I-divide ang \frac{143941218241098964+1250000000000000x}{908178160006701} gamit ang \sqrt{3}.

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

I-solve ang x

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