SOLUTION: How do I determine if a parabola has real or complex roots?

Algebra.Com
Question 276019: How do I determine if a parabola has real or complex roots?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
How do I determine if a parabola has real or complex roots?
-------------
If it does not touch the x-axis it has two complex roots.
If it touches the x-axis at one point it has two equal Real roots.
If it intersects the x-axis at two points it has to unequal Real roots.
-----------------
Cheers,
Stan H.

RELATED QUESTIONS

how do I determine if x^2-3x+3=0 is a quadratic equation has two rational solutions,two... (answered by stanbon)
The question says, "Sketch a narrow parabola that spills water and has a turning point of (answered by josmiceli)
f(x)=x^5-6x^4+11x^3-2x^2-12x+8 has (x-2) as a factor determine which one of the... (answered by MathLover1,Edwin McCravy)
Would someone be able to help me through a couple of these so I can get a better grip on... (answered by funmath)
I am trying to help my grandson with his algebra. I have forgotten so much! The... (answered by stanbon)
(i) How many solutions exist for a quadratic equation? Explain. (ii) How do we... (answered by Nate)
Use the discriminant to determine how many real-number roots the equation has. Do not... (answered by Earlsdon)
Sketch a narrow parabola that spills water and hasa turning point of (0,3). Will this... (answered by Edwin McCravy)
How many solutions exist for a quadratic equation? Explain. How do we determine... (answered by Nate)