a)
[tex]\it Fie\ \ x\ \ \c{s}i\ \ x+1\ \ cele\ \ dou\breve a\ \ numere\ \ consecutive\\ \\ x\cdot(x+1)=240\ \Rightarrow \ x^2+x=240 \Rightarrow x^2+x-240=0\\ \\ \Delta\ =1+4\cdot240=961\\ \\ \\ x_{1,2}=\dfrac{-1\pm\sqrt{961}}{2}=\dfrac{-1\pm29}{2}\ \stackrel{x>0}{\Longrightarrow}\ x=\dfrac{-1+29}{2} \Rightarrow x=14[/tex]
Numerele cerute sunt 14 și 15.
