SOLUTION: 4x^2 - 4x - 1 = 0

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Question 735667: 4x^2 - 4x - 1 = 0

Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
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=32 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1.20710678118655, -0.207106781186548. Here's your graph:
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