The roots of the quadratic equation 2x - 3/x =1 are
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2x - 3/x =1
=> 2x^2 - x - 3 =0
=> x^2 - x/2 - 3/2 = 0
=> x^2 - 3/2x+x - 3/2 = 0
=> x (x-3/2) +1(x-3/2) = 0
=> (x-3/2)(x+1) = 0
=> x = 3/2, - 1
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