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Determinati m∈R, astfel incat ecuatia x²+mx+9=0 sa admita doua solutii egale.

Răspuns :

Adrianalitcanu2018
Ecuatia x²+mx+9=0 are doua solutii egale daca Δ=0.
Δ=m²-4*1*9=m²-36
Δ=0
m²-36=0
m²=36
m1=6
m2=-6
Daca ecuatia x²+mx+9=0 are doua solutii egale, atunci m∈{-6;6}.