SOLUTION: Solve the equation x^2-4x+2=0 , if possible. Write irrational numbers in simplest radical form. Describe the strategy you used to get your solution and tell why you chose that stra

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Question 1140443: Solve the equation x^2-4x+2=0 , if possible. Write irrational numbers in simplest radical form. Describe the strategy you used to get your solution and tell why you chose that strategy.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Solve the equation x^2-4x+2=0 , if possible. Write irrational numbers in simplest radical form.
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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=8 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 3.41421356237309, 0.585786437626905. Here's your graph:

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Describe the strategy you used to get your solution and tell why you chose that strategy.
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Get someone to do it for me.

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