SOLUTION: I am trying to solve this equation and I am having a hard time with it... x^-1 + 3/(x+2) = 8 1/2 solve for x

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Question 473699: I am trying to solve this equation and I am having a hard time with it... x^-1 + 3/(x+2) = 8 1/2 solve for x
Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
x^-1 + 3/(x+2) = 8 1/2 solve for x
-----------------
1/x + 3/(x+2) = 17/2
Multiply by 2x(x+2)
2(x+2) + 6x = 17x(x+2)


Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=948 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 0.140870842255332, -1.67028260696121. Here's your graph:
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
Is it supposed to be this

 ?

or this

 ?

When there aren't enough parentheses to show where numerators
or denominators begin and end, we can't tell what you mean, but
either go by standard rules or whatever rules we think you meant.

If it's this:





Clear of fractions by multiplying through by LCD = 2x(x+2)













a=17, b=26, c=-4












---------------------------------

If it's this:





Multiply through by LCD = 2(x+2)







Multiply through by LCD = x




















Edwin
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