[tex]\displaystyle\\
x^2-(m^2+3)x+3=0\\\\
\text{Ecuatia poate fi scrisa sub forma:}\\\\
x^2-Sx+P=0\\\\
\text{unde S este suma radacinilor, iar P este produsul radacinilor.}\\\\
\Longrightarrow~~S=x_1+x_2=m^2+3~~~\text{si}~~~P = x_1x_2=3\\\\
x1+x2+x1x2=7\\\\
m^2+3+3=7\\\\
m^2=7-3-3\\\\
m^2=1\\\\
m=\pm \sqrt{1} \\\\
m_1 = \boxed{\bf 1}\\
m_2= \boxed{\bf -1}[/tex]
