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

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

X uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Evaluate trigonometric functions in the problem

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

\frac{x}{0,7265425280053608}+\frac{-4}{0,7265425280053608} natijani olish uchun x-4 ning har bir ifodasini 0,7265425280053608 ga bo‘ling.

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

\frac{-4}{0,7265425280053608} kasrini uning surat va maxrajini 10000000000000000 ga ko‘paytirish bilan kengaytiring.

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

\frac{-40000000000000000}{7265425280053608} ulushini 8 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

\frac{x}{0,7265425280053608}-\frac{5000000000000000}{908178160006701} teskarisini topish uchun har birining teskarisini toping.

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

\frac{x}{0,7265425280053608} ni ikki tarafga qo’shing.

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

Ikkala tarafdan \frac{5000000000000000}{908178160006701} ni ayirish.

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

\frac{143941218241098964}{908178160006701} olish uchun 164 dan \frac{5000000000000000}{908178160006701} ni ayirish.

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

Tenglama standart shaklda.

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

Ikki tarafini \sqrt{3} ga bo‘ling.

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

\sqrt{3} ga bo'lish \sqrt{3} ga ko'paytirishni bekor qiladi.

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

\frac{143941218241098964+1250000000000000x}{908178160006701} ni \sqrt{3} ga bo'lish.

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

x uchun yechish

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