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# Solve the Following Quadratic Equations by Factorization: (X+1)/(X-1)-(X-1)/(X+1)=5/6 , X ≠ 1, X ≠ -1 - Mathematics

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#### Question

Solve the following quadratic equations by factorization:

(x+1)/(x-1)-(x-1)/(x+1)=5/6 , x ≠ 1, x ≠ -1

#### Solution

We have been given

(x+1)/(x-1)-(x-1)/(x+1)=5/6

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

5x2 - 24x - 5 = 0

5x2 - 25x + x - 5 = 0

5x(x - 5) + 1(x - 5) = 0

(5x + 1)(x - 5) = 0

Therefore,

5x + 1 = 0

5x = -1

x = -1/5

Or,

x - 5 = 0

x = 5

Hence, x = -1/5 or x = 5

Is there an error in this question or solution?
Solve the Following Quadratic Equations by Factorization: (X+1)/(X-1)-(X-1)/(X+1)=5/6 , X ≠ 1, X ≠ -1 Concept: Solutions of Quadratic Equations by Factorization.