SOLUTION: 1/4 = 3 - 2x -1/x + 2

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Question 146791: 1/4 = 3 - 2x -1/x + 2
Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
1/4 = 3 - 2x - 1/x + 2
x=12x-8x^2-4+8x Multiply each side by 4x (LCM) to eliminate fractions.
-8x^2+12x-x+8x-4=0
-8x^2+19x-4=0
8x^2-19x+4=0
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Ed
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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=233 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 2.14152109515461, 0.233478904845391. Here's your graph:
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