SOLUTION: Solve: y-1/y+7=2/7

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Question 296258: Solve:
y-1/y+7=2/7

Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
multiply by 7y
7y^2-7+49y=2y
7y^2+47y-7=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=2405 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 0.145771381496923, -6.86005709578264. Here's your graph:

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