Range of values in regards to quadratics and discriminant

[ybhathena]

Homework Statement

Determine the range of values of the constant a so that the solution of ax^2+2ax+3>=0 (when a >0) is all real numbers

Homework Equations

D = b^2-4ac

The Attempt at a Solution

The discriminant is 0, 3. I need to know how to arrange them to get the range. The range is 0<a<=3 in the answers. How do I get it?

 

[Mark44]

Homework Statement

Determine the range of values of the constant a so that the solution of ax^2+2ax+3>=0 (when a >0) is all real numbers

Homework Equations

D = b^2-4ac

The Attempt at a Solution

The discriminant is 0, 3.

No, the discriminant is 4a² - 12a. What do your two values have to do with the discriminant? (I know, but I am trying to get you to be accurate in what you say.)

I need to know how to arrange them to get the range. The range is 0<a<=3 in the answers. How do I get it?