SOLUTION: 1/x^2 + 8/x= -2

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Question 472114: 1/x^2 + 8/x= -2
Answer by jorel1380(3719)   (Show Source): You can put this solution on YOUR website!
1/x^2 + 8/x= -2
1+8x=-2x2
2x2+8x+1=0
Solved by pluggable solver: SOLVE quadratic equation with variable
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=56 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -0.129171306613029, -3.87082869338697. Here's your graph:

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