SOLUTION: 1/4 = 3 - 2x -1/x + 2
-> SOLUTION: 1/4 = 3 - 2x -1/x + 2
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1/4 = 3 - 2x -1/x + 2
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1/4 = 3 - 2x - 1/x + 2
x=12x-8x^2-4+8x Multiply each side by 4x (LCM) to eliminate fractions.
SOLVE quadratic equation (work shown, graph etc)
(in our case
) has the following solutons:
For these solutions to exist, the
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:
can be factored:
Again, the answer is: 2.14152109515461, 0.233478904845391. Here's your graph: