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

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

Solvi għal X

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

Passi biex Issolvi l-Ekwazzjoni Lineari

Evaluate trigonometric functions in the problem

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

Iddividi kull terminu ta' x-4 b'0.7265425280053608 biex tikseb\frac{x}{0.7265425280053608}+\frac{-4}{0.7265425280053608}.

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

Espandi \frac{-4}{0.7265425280053608} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10000000000000000.

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

Naqqas il-frazzjoni \frac{-40000000000000000}{7265425280053608} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 8.

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

Biex issib l-oppost ta' \frac{x}{0.7265425280053608}-\frac{5000000000000000}{908178160006701}, sib l-oppost ta' kull terminu.

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

Żid \frac{x}{0.7265425280053608} maż-żewġ naħat.

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

Naqqas \frac{5000000000000000}{908178160006701} miż-żewġ naħat.

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

Naqqas \frac{5000000000000000}{908178160006701} minn 164 biex tikseb \frac{143941218241098964}{908178160006701}.

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

L-ekwazzjoni hija f'forma standard.

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

Iddividi ż-żewġ naħat b'\sqrt{3}.

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

Meta tiddividi b'\sqrt{3} titneħħa l-multiplikazzjoni b'\sqrt{3}.

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

Iddividi \frac{143941218241098964+1250000000000000x}{908178160006701} b'\sqrt{3}.

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

Solvi għal x

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