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

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

Resolva para X

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

Passos Para Resolver Uma Equação Linear

Evaluate trigonometric functions in the problem

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

Divida cada termo de x-4 por 0,7265425280053608 para obter \frac{x}{0,7265425280053608}+\frac{-4}{0,7265425280053608}.

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

Expanda \frac{-4}{0,7265425280053608} ao multiplicar o numerador e o denominador por 10000000000000000.

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

Reduza a fração \frac{-40000000000000000}{7265425280053608} para os termos mais baixos ao retirar e anular 8.

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

Para calcular o oposto de \frac{x}{0,7265425280053608}-\frac{5000000000000000}{908178160006701}, calcule o oposto de cada termo.

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

Adicionar \frac{x}{0,7265425280053608} em ambos os lados.

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

Subtraia \frac{5000000000000000}{908178160006701} de ambos os lados.

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

Subtraia \frac{5000000000000000}{908178160006701} de 164 para obter \frac{143941218241098964}{908178160006701}.

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

A equação está no formato padrão.

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

Divida ambos os lados por \sqrt{3}.

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

Dividir por \sqrt{3} anula a multiplicação por \sqrt{3}.

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

Divida \frac{143941218241098964+1250000000000000x}{908178160006701} por \sqrt{3}.

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

Resolva para x

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