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How do you solve #2/(x-1) - 2/3 =4/(x+1)#?

1 Answer

Jun 10, 2017

Solution : #x=2 or x=-5#

Explanation:

# 2/(x-1) -2/3 = 4/(x+1) #. Multiplying by #3(x-1)(x+1)# on both side we get, # 2*3*(x+1) -2(x^2-1) = 4*3*(x-1) # or

#6x+6-2x^2+2=12x-12 or 2x^2+12x-6x-12-8 =0# or

#2x^2+6x-20=0 or x^2 +3x -10=0 or x^2+5x-2x-10=0# or

# x(x+5) -2(x+5) =0 or (x+5)(x-2)=0 :.#either # x-2=0 :. x=2 # or
# x+5=0 :. x= -5#

Solution : #x=2 or x=-5# [Ans]

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