(420 / x-0.5) - (420 / x) = 20 fraction equation

(420 / x-0.5) - (420 / x) = 20 fraction equation

(420 / x-0.5) - (420 / x) = 20 divided by 10 to get (42 / x-0.5) - (42 / x) = 2 multiplied by X (x-0.5) to get 42x-42 (x-0.5) = 2x (x-0.5) 42x-42x + 21 = 2x & # 178; - X2X & # 178; - x-21 = 0 (2x-7) (x + 3) = 0x1 = 7 / 2 x2 = - 3. After testing, X1 = 7 / 2 x2 = - 3 are the solutions of the original equation

According to the rule that the solution of X + 1 / x = a + 1 / A is x = a or x = 1 / A, the fractional equation x + 1 / (x-3) = 8 and 1 / 5 is solved

Because the solution of X + 1 / x = a + 1 / A is x = a or x = 1 / A
So x + 1 / (x-3) = (x-3) + 1 / (x-3) = 8 and 1 / 5-3 = 41 / 5-3 = 26 / 5 = 5 + 1 / 5
So there is X - 3 = 5 or X - 3 = 1 / 5
The solution is x = 8 or x = 3 and 1 / 5

The solution of fractional equation: 1 / (X-2) + 1 / X-7 = 1 / (x-1) + 1 / (X-8) is

Because 1 / (X-7) - 1 / (X-8) = 1 / (x-1) - 1 / (X-2), we get: (X-7) (X-8) = (x-1) (X-2)
Unfold: 13X = 53, so x = 9 / 2
It is proved that x = 9 / 2 is the solution of the equation

Solving binary linear fractional equations: 3 / X-1 / y = 5, 2 / x + 3 / y = 1

3 / X - 1 / y = 5 ------ ① 2 / X - 3 / y = 1 ------ ② ① x 3 - ② 9 / x-3 / Y-2 / x + 3 / y = 15-1 7 / x = 14 x = 1 / 2 ------ ③ substitute ③ into ① to get: 6-1 / y = 5 y = 1, so x = 1 / 2 y = 1