Observe and analyze the following equations: 1 x + 2 / x = 3; 2. X + 6 / x = 5; 3. X + 12 / x = 7; please use the law contained in them to find the relation

Observe and analyze the following equations: 1 x + 2 / x = 3; 2. X + 6 / x = 5; 3. X + 12 / x = 7; please use the law contained in them to find the relation

1. This paper will be the first or x + 2 = 3x (x-1) (x-1) (X-2) at the first or x = 22, or x = 22, or x = 22, or x = 22, or x + 6 \35; 178; and + 2 = 3xxx and\\\\35\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\(x-3) = 2n

Observe and analyze the following equations: x + 2 / x = 3, x + 6 / x = 5, x + 12 / x = 7; please use the laws contained in them
Find the root of the equation x + (n & # 178; + n / x-3) = 2n + 4 (n is a positive integer) about X,

The rule is: if the two real number solutions of the equation in the form of X + (a * b) / x = a + B are x = a or x = B, then the equation x + (n & # 178; + n) / (x-3) = 2n + 4 can be transformed into: x-3 + (n & # 178; + n) / (x-3) = 2n + 1, that is: x-3 + n (n + 1) / (x-3) = n + (n + 1), then x-3 = n or x-3 = n + 1, and the solution x = n + 3 or x = n + 4

Observe and analyze the following equations (1) x + 2 / x = 3; (2) x + 6 / x = 5; (3) x + 12 / x = 7. Please use the law contained in them to find the equation about X
The root of X + (n ^ 2 + n) / (x-3) = 2n + 4, your answer is,

These equations can be changed into: (1) x + 1 * 2 / x = 2 * 1 + 1; (2) x + 2 * 3 / x = 2 * 2 + 1; (3) x + 3 * 4 / x = 2 * 3 + 1, so the nth equation is: x + n (n + 1) / x = 2n + 1 + 1 solution to this equation: x + n (n + 1) / x = 2n + 1 x & # 178; + n (n + 1) = (2n + 1) XX & # 178; - (2n + 1) x + n (n + 1) = 0 (x-n) (x - (n + 1)) = 0