Question
Sun November 13, 2011 By: Gurleen Kaur

find the value of x:

Expert Reply
Sun November 13, 2011
(x+1)/(x-1) + (x-2)/(x+2) = 3, x?1,-2
 
Take LCM on the left hand side to get
 
{(x+1)(x+2)+(x-2)(x-1)}/(x-1)(x+2)= 3
 
Or,
 
x2+3x+2+x2-3x+2=3(x2+x-2)
 
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
 
Hence either x+5 = 0 means x=-5
 
or x-2=0 means x=2
 
So the values of x are 2,-5
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