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

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

Lahendage ja leidke X

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

Juhised lineaarvõrrandi lahendamiseks

Evaluate trigonometric functions in the problem

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

Jagage x-4 iga liige 0,7265425280053608-ga, et saada \frac{x}{0,7265425280053608}+\frac{-4}{0,7265425280053608}.

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

Saate \frac{-4}{0,7265425280053608} laiendada, korrutades nii lugeja kui ka nimetaja 10000000000000000.

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

Taandage murd \frac{-40000000000000000}{7265425280053608} vähimale ühiskordsele, eraldades ja taandades arvu 8.

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

Avaldise "\frac{x}{0,7265425280053608}-\frac{5000000000000000}{908178160006701}" vastandi leidmiseks tuleb leida iga liikme vastand.

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

Liitke \frac{x}{0,7265425280053608} mõlemale poolele.

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

Lahutage mõlemast poolest \frac{5000000000000000}{908178160006701}.

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

Lahutage \frac{5000000000000000}{908178160006701} väärtusest 164, et leida \frac{143941218241098964}{908178160006701}.

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

Võrrand on standardkujul.

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

Jagage mõlemad pooled \sqrt{3}-ga.

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

\sqrt{3}-ga jagamine võtab \sqrt{3}-ga korrutamise tagasi.

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

Jagage \frac{143941218241098964+1250000000000000x}{908178160006701} väärtusega \sqrt{3}.

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

Lahendage ja leidke x

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