Find the range of values of a for which the following equations have two real roots:

x^2 - 2ax + 3a = 0

I've got it down to a^2-3a>0, where do i go from here?

Thanks

Printable View

- Sep 19th 2009, 06:38 AMMontydoDiscriminant question
Find the range of values of a for which the following equations have two real roots:

x^2 - 2ax + 3a = 0

I've got it down to a^2-3a>0, where do i go from here?

Thanks - Sep 19th 2009, 06:42 AMred_dog
The equation $\displaystyle a^2-3a=0$ has the roots $\displaystyle a_1=0, \ a_2=3$

Then $\displaystyle a^2-3a\geq 0$ if $\displaystyle a\in(-\infty,0]\cup[3,\infty)$