1/x-1/x-2=3 by factorisation
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Answered by
2
1/x-1/x-2=3
x-2-x/x(x-2)=3
-2/x^2-2x=3
-2=3x^2-6x
3x^2-6x+2=0
factorise
x-2-x/x(x-2)=3
-2/x^2-2x=3
-2=3x^2-6x
3x^2-6x+2=0
factorise
Answered by
10
Here is ur answer
1/ x-1 / x-2 = 3
Taking l.c.m
(x-2) -x / x(x-2) = 3
-2 / x^2 -2x = 3
-2 = 3( x^2 - 2x)
-2 = 3x^2 -6x
3x^2 -6x +2 = 0
3x^2 -3x-2x + 2 = 0
3x( x-1) -2 ( x-1 ) =0
(3x-2) ( x-1) =0
So , x = 2/3 and x = 1
HOPE IT HELPS U☆☆☆
1/ x-1 / x-2 = 3
Taking l.c.m
(x-2) -x / x(x-2) = 3
-2 / x^2 -2x = 3
-2 = 3( x^2 - 2x)
-2 = 3x^2 -6x
3x^2 -6x +2 = 0
3x^2 -3x-2x + 2 = 0
3x( x-1) -2 ( x-1 ) =0
(3x-2) ( x-1) =0
So , x = 2/3 and x = 1
HOPE IT HELPS U☆☆☆
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