SOLUTION: Find the x-intercepts. y = x^2 + 3x + 1

Question 104539: Find the x-intercepts.
y = x^2 + 3x + 1
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
The x intercepts occur when y=0
x^2+3x+1=0

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=5 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.381966011250105, -2.61803398874989. Here's your graph:

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