SOLUTION: Can someone help me with the following problemwith finding zeroes? f(x)=x^2-5x+1

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Question 275254: Can someone help me with the following problemwith finding zeroes?
f(x)=x^2-5x+1

Answer by Greenfinch(383)   (Show Source): You can put this solution on YOUR website!
x^2 - 5x + 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=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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