Riješi sqrt{3}X-x-4/tan36^circ=164

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

Izračunaj X

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

Koraci rješavanja linearne jednadžbe

Evaluate trigonometric functions in the problem

$$\sqrt{3} X - \frac{x - 4}{0,7265425280053608} = 164$$

Podijelite svaki izraz jednadžbe x-4 s 0,7265425280053608 da biste dobili \frac{x}{0,7265425280053608}+\frac{-4}{0,7265425280053608}.

$$\sqrt{3}X-\left(\frac{x}{0,7265425280053608}+\frac{-4}{0,7265425280053608}\right)=164$$

Proširite \frac{-4}{0,7265425280053608} tako da i brojnik i nazivnik pomnožite sa 10000000000000000.

$$\sqrt{3}X-\left(\frac{x}{0,7265425280053608}+\frac{-40000000000000000}{7265425280053608}\right)=164$$

Skratite razlomak \frac{-40000000000000000}{7265425280053608} na najmanje vrijednosti tako da izlučite i poništite 8.

$$\sqrt{3}X-\left(\frac{x}{0,7265425280053608}-\frac{5000000000000000}{908178160006701}\right)=164$$

Da biste pronašli suprotnu vrijednost izraza \frac{x}{0,7265425280053608}-\frac{5000000000000000}{908178160006701}, pronađite suprotnu verziju svakog člana.

$$\sqrt{3}X-\frac{x}{0,7265425280053608}+\frac{5000000000000000}{908178160006701}=164$$

Dodajte \frac{x}{0,7265425280053608} na obje strane.

$$\sqrt{3}X+\frac{5000000000000000}{908178160006701}=164+\frac{x}{0,7265425280053608}$$

Oduzmite \frac{5000000000000000}{908178160006701} od obiju strana.

$$\sqrt{3}X=164+\frac{x}{0,7265425280053608}-\frac{5000000000000000}{908178160006701}$$

Oduzmite \frac{5000000000000000}{908178160006701} od 164 da biste dobili \frac{143941218241098964}{908178160006701}.

$$\sqrt{3}X=\frac{143941218241098964}{908178160006701}+\frac{x}{0,7265425280053608}$$

Jednadžba je u standardnom obliku.

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

Podijelite obje strane sa \sqrt{3}.

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

Dijeljenjem s \sqrt{3} poništava se množenje s \sqrt{3}.

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

Podijelite \frac{143941218241098964+1250000000000000x}{908178160006701} s \sqrt{3}.

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

Izračunaj x

$$x=\frac{908178160006701\sqrt{3}X}{1250000000000000}-115,1529745928791712$$