Solve the rational equation 2x^2 + 1/x-1 + x = 3 + 3/x -1 A. X= 1/3, x= 1 B. X=1/3 C. X=1 D. There is no solution

There is no solution

Step-by-step explanation:

Given the rational equation 2x^2 + 1/x-1 + x = 3 + 3/x -1

We are to find the value of x

Collect like terms

2x²+x-3 = 3/x-1 - 1/x-1

2x²+x-3 = 2/x-1

Cross multiply

(2x²+x-3) (x-1) = 2

2x³-2x²+x²-x-3x+3-2 = 0

2x³-x²-4x+1 = 0

Since we cannot factor the polynomial, hence there is no solution

1/3

Step-by-step explanation:

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