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cum se rezolva exercitiul ? 13*{223-[(x+17)*(x+18)+11]}-46=500

Răspuns :

13*{223-[(x+17)(x+18)+11]}-46=500
223-(x²+17x+18x+306+11)=(500+46)/13
223-(x²+35x+317)=546/13
223-x²-35x-317=42
-94-x²-35x-42=0
-x²-35x-136=0
x²+35x+136=0

Δ=b²-4ac=35²-4*1*136=1225-544=681

x1(1 este indice)=(-b+√Δ)/2a=(-35+√681)/2
x2(2 este indice)=(-b-√Δ)/2a=(-35-√681)/2