Bonsoir,
Equation a résoudre :
900n^2+89100n-5000000=0
9n^2 + 891n - 5000 = 0
[tex]\Delta = (891)^{2} - 4 \times 9 \times -5000[/tex]
[tex]\Delta = 793881 + 180000 = 973881[/tex]
[tex]\sqrt\Delta = 986,85 > 0[/tex] donc 2 solutions possibles
[tex]x_{1} = \dfrac{-891 - 986,85}{2 \times 9}[/tex]
[tex]x_{1} = 104,33[/tex]
[tex]x_{2} = \dfrac{-891 + 986,85}{2 \times 9}[/tex]
[tex]x_{2} = 5,33[/tex]
