SOLUTION: Name the x-intercepts of the graph of f(x)=x^2+4x+1. Can you show me this please.

Question 202497: Name the x-intercepts of the graph of f(x)=x^2+4x+1. Can you show me this please.
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
x intercepts happen with f(x) = 0
So solve this for x

Use this URL to help you --> http://www.algebra.com/algebra/homework/quadratic/quadratic.solver

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=12 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.267949192431123, -3.73205080756888. Here's your graph:

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