There is the following equation:

x^2+2(m-a)x+3am-2=0 | a,m ∈ R

a) Find a such that the euation has real roots, ∀ m ∈ R.

b) Find m such that the euation has real roots, ∀ a ∈ R.

I put the condition: DELTA >= 0

I found DELTA but since this step I have problems..

Sorry for my english!

The answer should be: |a| <= sqrt(8/21) ; |m| <= sqrt(8/21)

My try:

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