Question

Va rog ex 7 si 8
Mulțumesc

Answer 1

Răspuns:

7. m∈ R, x²+2mx>1

x²+2mx-1>0<=> Δ<0si a>0 (1>0- ad)

<=> Δ<0

<=> 4m²+4<0 <=> 4(m²+1)<0 <=> m²+1<0 => m∈Ф

8. f: [0,4] -> R, f(x)= -x²+6x-5

a=-1 <0 => Imf= (-∞; -Δ/4a)= (-∞; 4)