SOLUTION: Calculate the value of the discriminant of x2+x+3=0 that is x squared By examining the sign of the discriminant in part a, how many x-intercepts would the graph of y=x2+x+3 have

Algebra ->  Human-and-algebraic-language -> SOLUTION: Calculate the value of the discriminant of x2+x+3=0 that is x squared By examining the sign of the discriminant in part a, how many x-intercepts would the graph of y=x2+x+3 have      Log On


   

Question 110906: Calculate the value of the discriminant of x2+x+3=0
that is x squared
By examining the sign of the discriminant in part a, how many x-intercepts would the graph of y=x2+x+3 have? Why?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Calculate the discriminant of:
x%5E2%2Bx%2B3+=+0
The discriminant of a quadratic equation is the quantity: b%5E2-4ac (the number under the square root sign in the general form of the equation x+=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a
In your equation, you can see that a = a, b = 1, and c = 3, making the appropriate substitutions, we get:
1%5E2-4%281%29%283%29+=+1+-+12 = -11
When you see a negative number under the radical (square root sign), you know that the solutions of this quadratic will be complex roots.
This means that the graph of the equation (a parabola) does not intercept the x-axis at all.
Take a look at the graph to confirm this:
graph%28600%2C400%2C-5%2C5%2C-2%2C8%2Cx%5E2%2Bx%2B3%29