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Find the sum of all x that satisfy the equation -9x/(x^2 - 1) = 2x/(x + 1) - 8(x - 1).

 Apr 30, 2022
 #1
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x^2  - 1   = (x +1) (x  -1)

 

Multiply through  by  the factorization and we  have that

 

-9x   =  2x ( x - 1)  - 8 ( x + 1)

 

-9x  = 2x^2 -2x - 8x - 8

 

2x^2 - x  - 8  =  0

 

The sum of  the solutions  in  the form ax^2 + bx + c  = 0   =   -b/ a  =    =    1   /  2

 

cool cool cool

 Apr 30, 2022

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