SOLUTION: What is the sum of the solutions to the equation 1=1/x - 8/x(x+3)

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Question 1033756: What is the sum of the solutions to the equation 1=1/x - 8/x(x+3)
Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
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What is the sum of the solutions to the equation 1=1/x - 8/x(x+3)
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1. It is good that you applied parentheses once.
   It would be even better if you apply them more than once to make your formula unambiguous.


2.  Nevertheless, I'll try to give you an advise how to solve it.

    a) Multiply both sides by a common denominator. You will get an equivalent equation with the same roots. 

    b) Simplify the equation and reduce it to the standard form of a quadratic equation   = .

    c) Do not solve it !!  Save your time and efforts !!

       The sum of its roots is simply .

       So, calculate this ratio .

       It will be your answer.


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