Question

Am nevoie de acest Exercițiu

Answer 1

Δ≥0

m²-4(m-1)(m-1)=m²-4(m²-2m+1)=m²-4m²+8m-4=-3m²+8m-4

-3m²+8m-4≤0=>-3m²+8m-4=0|(-1)=>3m²-8m+4=0

Δm=64-24=40

m₁₂=(8+-2√10)/6=(4+-√10)/3

m₁=(4-√10)/3

m₂=(4+√10)/3

m | -∞ (4-√10)/3 (4+√10)/3 +∞

-------------|--------------------------------------------------

3m²-8m+4 | +++++++++ 0-----------------0+++++++++

m∈[(4-√10)/3 ;(4+√10)/3 ]/{1}