1.

Solve : 2x/x-3+ 1/2x+3+ 3x+9/((x-3)(2x+3))=0

Answer»

Obviously, the given equation is valid if x - 30 and 2x + 30.

Multiplying throughout by (x - 3) (2x - 3), we get

2x(2x + 3) + 1(x - 3) + 3x + 9 = 0

or 4x2 + 10 + 6 = 0 

or 2x2 + 5x + 3 = 0 

or (2x + 3) (x + 1) = 0

But 2x + 3 0, so we get x + 1 = 0. 

This gives x = - 1 as the only solution of the given equation.



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