jawaban:

Input

(X - 2)/(x + 2) = -1/3 (x + 1)

Result

(X - 2)/(x + 2) = 1/3 (-x - 1)

Alternate form assuming x and X are real

(x (x + 3) + 3 X - 4)/(x + 2) = 0

Alternate form

X = -x^2/3 - x + 4/3

Alternate form assuming x and X are positive

x (x + 3) + 3 X = 4

Expanded form

X/(x + 2) - 2/(x + 2) = -x/3 - 1/3

Solution

X = 1/3 (-x^2 - 3 x + 4), x + 2!=0

Integer solutions

x = 1 - 3 n, X = 5 n - 3 n^2, n element Z, n<=0

x = 2 - 3 n, X = -3 n^2 + 7 n - 2, n element Z

x = 1 - 3 n, X = 5 n - 3 n^2, n element Z, n>=2

Solutions for the variable x

x = 1/2 (-sqrt(25 - 12 X) - 3)

x = 1/2 (sqrt(25 - 12 X) - 3)

by: Ken saka¶