[FONT="]There is the following equation: [/FONT]
[FONT="]x^2+2(m-a)x+3am-2=0 | a,m ∈ R[/FONT]
[FONT="]a) Find a such that the euation has real roots, ∀ m ∈ R.[/FONT]
[FONT="]b) Find m such that the euation has real roots, ∀ a ∈ R.[/FONT]
[FONT="]I put the condition: DELTA >= 0[/FONT]
[FONT="]I found DELTA but since this step I have problems..[/FONT]
[FONT="]Sorry for my english!
The answer should be: |a| <= sqrt(8/21) ; |m| <= sqrt(8/21)
My try:
[/FONT]
[FONT="]x^2+2(m-a)x+3am-2=0 | a,m ∈ R[/FONT]
[FONT="]a) Find a such that the euation has real roots, ∀ m ∈ R.[/FONT]
[FONT="]b) Find m such that the euation has real roots, ∀ a ∈ R.[/FONT]
[FONT="]I put the condition: DELTA >= 0[/FONT]
[FONT="]I found DELTA but since this step I have problems..[/FONT]
[FONT="]Sorry for my english!
The answer should be: |a| <= sqrt(8/21) ; |m| <= sqrt(8/21)
My try:
[/FONT]