SOLUTION: 5/14 - 2/x = 3x

Question 337454: 5/14 - 2/x = 3x
Found 2 solutions by Fombitz, edjones:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Multiply both sides by ,

Use the quadratic formula,

where
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
5/14 - 2/x = 3x
5x-28=42x^2 multiply each side by 14x.
42x^2-5x+28=0
x=5/84 + sqrt(4679)/84 * i, x=5/84 - sqrt(4679)/84 * i (see below)
.
Ed
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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 : .

The discriminant -4679 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

In the field of imaginary numbers, the square root of -4679 is + or - .

The solution is

Here's your graph:

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