SOLUTION: Can you please help me to solve this equation: 1/4=3-2x-1/x+2

Question 146914: Can you please help me to solve this equation: 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 the LCM to eliminate fractions.
8x^2-19x+4=0 subtract the right side from the left.
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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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