SOLUTION: "what are the real or imaginary solutions of 4x3-6x2=4x" x(2x-3x)(2x-2x)

Question 598950: "what are the real or imaginary solutions of 4x3-6x2=4x"
x(2x-3x)(2x-2x)

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
"what are the real or imaginary solutions of 4x3-6x2=4x"
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4x3-6x2-4x = 0
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x = 0
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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=25 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2, -0.5. Here's your graph:

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