solve : x+1÷x-1+x-2÷x+2=3
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x + 1/x -1 + x - 2/x + 2 = 3
(x² + 2x + x + 2 + x² - x - 2x + 2)/x² + 2x - x - 2 = 3
2x² + 4/ x² + x - 2 = 3
2x² + 4 = 3x² + 3x - 6
x² + 3x - 10 = 0
x² + 5x - 2x - 10 = 0
x(x + 5) - 2(x + 5) = 0
(x + 5) (x - 2) = 0
x = - 5 or x = 2
Hope this helps you.
(x² + 2x + x + 2 + x² - x - 2x + 2)/x² + 2x - x - 2 = 3
2x² + 4/ x² + x - 2 = 3
2x² + 4 = 3x² + 3x - 6
x² + 3x - 10 = 0
x² + 5x - 2x - 10 = 0
x(x + 5) - 2(x + 5) = 0
(x + 5) (x - 2) = 0
x = - 5 or x = 2
Hope this helps you.
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