SOLUTION: 4x^3-27x^2-11x-1=0

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Question 254984: 4x^3-27x^2-11x-1=0
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
factor it
(4x+1)*(x^2-7x-1) = 0
three solutions
4x+1=0 solve for x
x^2-7x-1=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=45 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 6.85410196624968, 0.145898033750315. Here's your graph:

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