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

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

Atrast X

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

Lineāra vienādojuma risināšanas darbības

Evaluate trigonometric functions in the problem

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

Daliet katru x-4 locekli ar 0,7265425280053608, lai iegūtu \frac{x}{0,7265425280053608}+\frac{-4}{0,7265425280053608}.

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

Izvērsiet \frac{-4}{0,7265425280053608}, reizinot gan skaitītāju, gan saucēju ar 10000000000000000.

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

Vienādot daļskaitli \frac{-40000000000000000}{7265425280053608} līdz mazākajam loceklim, izvelkot un saīsinot 8.

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

Lai atrastu \frac{x}{0,7265425280053608}-\frac{5000000000000000}{908178160006701} pretējo vērtību, atrodiet katra locekļa pretējo vērtību.

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

Pievienot \frac{x}{0,7265425280053608} abās pusēs.

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

Atņemiet \frac{5000000000000000}{908178160006701} no abām pusēm.

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

Atņemiet \frac{5000000000000000}{908178160006701} no 164, lai iegūtu \frac{143941218241098964}{908178160006701}.

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

Vienādojums ir standarta formā.

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

Daliet abas puses ar \sqrt{3}.

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

Dalīšana ar \sqrt{3} atsauc reizināšanu ar \sqrt{3}.

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

Daliet \frac{143941218241098964+1250000000000000x}{908178160006701} ar \sqrt{3}.

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

Atrast x

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