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determinati numarul x stiind ca x* (x+1)+(x+1) * (x+2) = 98

Răspuns :

x* (x+1)+(x+1) * (x+2) = 98
x²+x+x²+3x+2 = 98
2x²+4x-96=0
x²+2x-48=0
Δ=4+4*48=196
x₁=(-2+√196)/2=(-2+14)/2=6
x₂=(-2-√196)/2=(-2-14)/2=-8