SOLUTION: Use the discriminant to find how many places the quadratic function crosses the x-axis. 4x^2 + 8x = 0

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Use the discriminant to find how many places the quadratic function crosses the x-axis. 4x^2 + 8x = 0      Log On


   

Question 193802: Use the discriminant to find how many places the quadratic function crosses the x-axis.
4x^2 + 8x = 0
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Rewrite your equation:



So:







Discriminant:



Plug in the values and calculate.

One point of intersection (the x-axis is tangent to the curve at the vertex)

Two points of intersection, i.e. two real number roots.

No points of intersection, i.e. the roots are a conjugate pair of complex numbers.


John