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Question

how to take LCM if no is x+1/x-1+x-2/x+2 =3

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Solution

Dear Student,

Consider the following equation. x+1x-1+x-2x+2=3The denominator of the two fractions on the LHS are x-1 and x-2.Both of them do not have any common factor.So their LCM can be determined by the product of both of them.The LCM is x-1 x-2.The given expression can be simplified as follows: x+1x+2+x-2x-1x-1x+2=3 x2+2x+x+2+x2-x-2x+2x2+2x-x-2=3 2x2+4x2+x-2=3 2x2+4=3x2+x-2 2x2+4=3x2+3x-6 3x2+3x-6-2x2-4=0 x2+3x-10=0Solve the above equation as, x2+5x-2x-10=0 xx+5-2x+5=0 x+5x-2=0 x=-5, 2

Regards

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