SOLUTION: 2(x-3)^(2)=-2x+9

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Question 583178: 2(x-3)^(2)=-2x+9
Answer by tommyt3rd(5050)   (Show Source): You can put this solution on YOUR website!
if you mean solve, then...
2(x-3)^(2)=-2x+9
2(x^2-6x+9)=-2x+9
2x^2-10x+9=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=28 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 3.8228756555323, 1.1771243444677. Here's your graph:


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