SOLUTION: Find all solution of the equation algebraically 9u^2/3+12u^1/3+4=0

Question 354414: Find all solution of the equation algebraically
9u^2/3+12u^1/3+4=0
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
9u^2/3+12u^1/3+4=0
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Sub x for u^(1/3)
9x^2 + 12x + 4 = 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=0 is zero! That means that there is only one solution: .
Expression can be factored:

Again, the answer is: -0.666666666666667, -0.666666666666667. Here's your graph:

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x = -2/3
u^(1/3) = -2/3
u = -8/27

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