Question
Asked Sep 10, 2019
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I need help solving the algebra problem 

(x/x-1) - (x-1/x^2 -1) = (5/x+1) 

 

I don't know  how to begin to solve it

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Expert Answer

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Step 1

Firstly , we use the formula x^2-a^2=(x-a)(x+a) to factorise x^2-1

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х—1 5 х x -1 х+1 х —1 х —1 5 х х -1 (х -1)(х+1) х+1 1 5 х х -1 х+1 х+1 1 х х+1 х+1 х -1 6 х х -1 х +1

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Step 2

Now we use the concept of cross multiplication according to which if a/b=c/d, then ad=bc

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6 х х -1 х+1 x(*+1) -6(х-1) +х%3Dбх — 6 х - 5х + 6%3D 0 ее

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Step 3

Then we solve the quadratic equat...

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- 5x + 6 = 0 x2 3x 2x6 = 0 (x-3)(x-2) 0 x 2,3

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