1.
[tex]f(x) = 0\Rightarrow 8-x=0\Rightarrow x=8\Leftrightarrow f(8) = 0\\
f(0)\cdot f(1)\cdot f(2)\cdot \dots\cdots f(8)\cdot f(9)\cdot(10)=0\text{, pentru c\u a }f(8)=0[/tex]
2.
[tex]A(3, 6)\in G_f\Leftrightarrow f(3)=6\Leftrightarrow 3^2-4\cdot m\cdot3+m+3=6\\
-11m=-6\Rightarrow\displaystyle m=\frac{6}{11}[/tex]
3.
[tex]z^2=(2+3i)^2=2^2+2\cdot2\cdot3i+(3i)^2=4+12i-9=-5+12i\\
|z|=\sqrt{2^2+3^2}=\sqrt{13}\\
\overset{-}{z}=2-3i[/tex]
4.
[tex]2(4+\sqrt3)-\sqrt{12}=8+2\sqrt3-\sqrt{2^2\cdot3}=8+2\sqrt3-2\sqrt3=8[/tex]
5.
[tex]\displaystyle x_V=\frac{-b}{2a}=\frac{-6}{-2}=3\\\\
y_V=\frac{-\Delta}{4a}=\frac{-40}{-4}=10\\\\
\Rightarrow V(3, 10)[/tex]
