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# Solve the Following Quadratic Equations by Factorization: (X-1)/(2x+1)+(2x+1)/(X-1)=5/2 , X ≠ -1/2, 1 - Mathematics

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#### Question

Solve the following quadratic equations by factorization:

(x-1)/(2x+1)+(2x+1)/(x-1)=5/2 , x ≠ -1/2, 1

#### Solution

We have been given

(x-1)/(2x+1)+(2x+1)/(x-1)=5/2

2(x2 + 1 - 2x + 4x2 + 1 + 4x) = 5(2x2 - x - 1)

10x2 + 4x + 4 = 10x2 - 5x - 5

9x + 9 = 0

Therefore,

9x = -9

x = -9/9

x = -1

Hence, x = -1

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Solve the Following Quadratic Equations by Factorization: (X-1)/(2x+1)+(2x+1)/(X-1)=5/2 , X ≠ -1/2, 1 Concept: Solutions of Quadratic Equations by Factorization.