SOLUTION: Please help me calculate the value of the discriminant of {{{x^2+x+3=0}}} and part b of that question is By examining the sign of the discriminant in part a, how many x-intercepts

Question 148151: Please help me calculate the value of the discriminant of and part b of that question is By examining the sign of the discriminant in part a, how many x-intercepts would the graph of have? and why?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!

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 : .

The discriminant -11 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

In the field of imaginary numbers, the square root of -11 is + or - .

The solution is , or
Here's your graph:

As noted above and shown in the graph, there are NO x intercepts. This is true when the discriminant is negative.
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