SOLUTION: 2/3x-7=x

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Question 154734This question is from textbook Algebra structure and method book 1
: 2/3x-7=x This question is from textbook Algebra structure and method book 1

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
2/3x-7=x
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Multiply by 3x
2 - 21x = 3x^2
3x^2 + 21x - 2 = 0
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=465 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 0.0939764421413039, -7.0939764421413. Here's your graph:


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