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daca a+b=8 si a²+b²=44 aflati a*b=?

Răspuns :

[tex]a+b=8\Rightarrow (a+b)^2=64\Rightarrow a^2+2ab+b^2=64\Rightarrow 44+2ab=64\Rightarrow[/tex]

[tex]\Rightarrow 2ab=20\rightarrow ab=10.[/tex]