SOLUTION: Write an inequality that contains both of the solutions of the equation? 4x=7+2/x

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Question 39658This question is from textbook
: Write an inequality that contains both of the solutions of the equation? 4x=7+2/x This question is from textbook

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
4x=7+2/x
Multiply both sides by "x" to get:
4x^2=7x+2
4x^2-7x-2=0
4x^2-8x+x-2=0
4x(x-2)+(x-2)=0
(x-2)(4x+1)=0
x=2 or x=-1/4
Cheers,
Stan H.