Question

va rog !!!!!A6 si A7 doar punctul a ​

Answer 1

A6. Ecuatia are solutii reale daca delta>= 0

delta=( 2m+1)^2 -4m(m-2)= 4m^2 + 4m+1-4m^2+8m= 12m +1

12m+1>= 0 <=> m>= -1÷12 => m apartine intervalului [-1/12, infinit]

A7. Ecuatia are solutii reale daca delta >=0

delta= [2(m-1)]^2 - 4(m-2)(m+3)= 4(m-1)^2 -4(m^2 -2m+3m-6)= 4(m^2-2m+1) - 4(m^2+m-6)= 4m^2 -8m+4 -4m^2-4m+24= 4m+28

4m+28>= 0 <=> m>= -28÷4 <=> m>=-7 => m apartine intervalului [-7, infinit]