rozwiąż : 4/x-1 -2=2x
4 / (x - 1) - 2 = 2x ----- zał x ≠ 1
4 / (x - 1) -2(x - 1) / (x - 1) = 2x
[ 4 - 2(x -1) ] / (x -1) = 2x / 1
[ 4 - 2(x -1) ] = 2x(x -1)
4 - 2x + 2 = 2x^2 - 2x
2x^2 -2x + 2x - 6 = 0
x^2 - 6= 0
(x - √6)(x + √6) = 0
x = √6 lub x = -√6
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4 / (x - 1) - 2 = 2x ----- zał x ≠ 1
4 / (x - 1) -2(x - 1) / (x - 1) = 2x
[ 4 - 2(x -1) ] / (x -1) = 2x / 1
[ 4 - 2(x -1) ] = 2x(x -1)
4 - 2x + 2 = 2x^2 - 2x
2x^2 -2x + 2x - 6 = 0
x^2 - 6= 0
(x - √6)(x + √6) = 0
x = √6 lub x = -√6