Răspuns:
[tex]3\sqrt{x+1} =-x[/tex]
Conditii x+1≥0 x∈[-1,+∞)
-x≥0 x≤0
x∈(-∞,0]
x∈[-1,+∞)∩(-∞.0]=[-1,0]
Ridici ecuatia la patrat
[tex](3(\sqrt{x+1} )^{2} =(-x)^2[/tex]
9(x+1)=x²
x²-9x-9=0
x1=(9-√(81+36))/2=(9-√117)/2=
(9-√9*13)/2=(9-3√13)/2∈[-1,0]
x2=(9+3√13)/2∉[-1,0] nu este solutie
Explicație pas cu pas:
