SOLUTION: Solve. x²-5x+1=0 I`m stuck on this problem. I don`t even know how to start this problem.

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Question 574681: Solve. x²-5x+1=0
I`m stuck on this problem. I don`t even know how to start this problem.
Answer by g1000000(5)   (Show Source): You can put this solution on YOUR website!
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=21 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 4.79128784747792, 0.20871215252208. Here's your graph:
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