Question

va rog frumos cat mai repede!!​

Answer 1

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.

$2(4+\sqrt3)-\sqrt{12}=8+2\sqrt3-\sqrt{2^2\cdot3}=8+2\sqrt3-2\sqrt3=8$

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]