SOLUTION: how do you solve this equation? (x-4)^2/3-2=2

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Question 318856: how do you solve this equation?
(x-4)^2/3-2=2
Answer by JBarnum(2146)   (Show Source): You can put this solution on YOUR website!
square to get
then simplify the rest 3-2=1
subtract 2
solve quadratic equation
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=8 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 5.41421356237309, 2.58578643762691. Here's your graph:
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