solve for x: x+1/x-1 + x-2/x+2 =4 - 2x+3/x-2; xnot equal 1, -2, 2
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sorry buddy it is taking long time
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Answer:
(x+1)/(x-1) + (x-2)/(x+2) = 4 - (2x+3)/(x-2)
⇒ (x+1)(x+2) + (x-2)(x-1) / (x-1)(x+2) = 4(x-2) - (2x+3) / (x-2)
⇒ (2x²+4) / (x²+x-2) = (2x-11) / (x-2)
⇒ (2x²+4)(x-2) = (x²+x-2)(2x-11)
⇒ 2x³ - 4x² + 4x -8 = 2x³ -11x² +2x² - 11x - 4x +22
⇒ -4x² + 9x² + 4x + 15x - 8 - 22 = 0
⇒ 5x² + 19x - 30 = 0
⇒ 5x² + 25x - 6x -30 = 0
⇒ 5x (x + 5) - 6 (x + 5) = 0
⇒ (x + 5) (5x - 6) = 0
On solving these we get,
x = (-5) or x = (6/5)
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