please solve it question
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(x+1)/(x-1) + (x-2)/(x+2) = 3
1 + 2/(x-1) + 1 - 4/(x+2) = 3
1/(x-1) - 2/(x+2) = 1/2
by inspection x=2 is one root
lets consider the quadratic euation and simplifying...
2(x+2 - 2(x-1)) = (x+2)(x-1)
⇒ x² + 3x -10 = 0
x² -2x +5x -10
x(x-2) + 5(x-2)
(x+5)(x-2)
hence roots are x=-5,2
1 + 2/(x-1) + 1 - 4/(x+2) = 3
1/(x-1) - 2/(x+2) = 1/2
by inspection x=2 is one root
lets consider the quadratic euation and simplifying...
2(x+2 - 2(x-1)) = (x+2)(x-1)
⇒ x² + 3x -10 = 0
x² -2x +5x -10
x(x-2) + 5(x-2)
(x+5)(x-2)
hence roots are x=-5,2
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