x(tan50)-x(tan15)=90 eching

$$x ( \tan 50 ) - x ( \tan 15 ) = 90$$

x_0 uchun yechish

$$x_{0}=\frac{639178641980700x_{1}-300000000000000000}{893163974770409}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Evaluate trigonometric functions in the problem

$$x 1,19175359259421 - x 0,2679491924311227 = 90$$

-0,2679491924311227 hosil qilish uchun -1 va 0,2679491924311227 ni ko'paytirish.

$$x_{1}\times 0,19175359259421-0,2679491924311227x_{0}=90$$

Ikkala tarafdan x_{1}\times 0,19175359259421 ni ayirish.

$$-0,2679491924311227x_{0}=90-x_{1}\times 0,19175359259421$$

Tenglama standart shaklda.

$$-0,2679491924311227x_{0}=-\frac{19175359259421x_{1}}{100000000000000}+90$$

Tenglamaning ikki tarafini -0,2679491924311227 ga bo'lish, bu kasrni qaytarish orqali ikkala tarafga ko'paytirish bilan aynidir.

$$\frac{-0,2679491924311227x_{0}}{-0,2679491924311227}=\frac{-\frac{19175359259421x_{1}}{100000000000000}+90}{-0,2679491924311227}$$

-0,2679491924311227 ga bo'lish -0,2679491924311227 ga ko'paytirishni bekor qiladi.

$$x_{0}=\frac{-\frac{19175359259421x_{1}}{100000000000000}+90}{-0,2679491924311227}$$

90-\frac{19175359259421x_{1}}{100000000000000} ni -0,2679491924311227 ga bo'lish 90-\frac{19175359259421x_{1}}{100000000000000} ga k'paytirish -0,2679491924311227 ga qaytarish.

$$x_{0}=\frac{639178641980700x_{1}-300000000000000000}{893163974770409}$$

x_1 uchun yechish

$$x_{1}=\frac{893163974770409x_{0}}{639178641980700}+\frac{1000000000000000}{2130595473269}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Evaluate trigonometric functions in the problem

$$x 1,19175359259421 - x 0,2679491924311227 = 90$$

x_{0}\times 0,2679491924311227 ni ikki tarafga qo’shing.

$$x_{1}\times 0,19175359259421=90+x_{0}\times 0,2679491924311227$$

Tenglama standart shaklda.

$$0,19175359259421x_{1}=\frac{2679491924311227x_{0}}{10000000000000000}+90$$

Tenglamaning ikki tarafini 0,19175359259421 ga bo'lish, bu kasrni qaytarish orqali ikkala tarafga ko'paytirish bilan aynidir.

$$\frac{0,19175359259421x_{1}}{0,19175359259421}=\frac{\frac{2679491924311227x_{0}}{10000000000000000}+90}{0,19175359259421}$$

0,19175359259421 ga bo'lish 0,19175359259421 ga ko'paytirishni bekor qiladi.

$$x_{1}=\frac{\frac{2679491924311227x_{0}}{10000000000000000}+90}{0,19175359259421}$$

90+\frac{2679491924311227x_{0}}{10000000000000000} ni 0,19175359259421 ga bo'lish 90+\frac{2679491924311227x_{0}}{10000000000000000} ga k'paytirish 0,19175359259421 ga qaytarish.

$$x_{1}=\frac{893163974770409x_{0}}{639178641980700}+\frac{1000000000000000}{2130595473269}$$