SOLUTION: SOLVE 25x^3-15x^2=18x

Question 167675: SOLVE
25x^3-15x^2=18x
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
25x^3-15x^2=18x
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Divide by x, so x = 0 is one solution.

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=2025 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.2, -0.6. Here's your graph:

The solutions are correct, but the factors are not.

x = 0, 1.2, -0.6

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