Question

Se consideră funcția f:R-R f (x)=x la a2a -3x+2.Calculați f (0)×f (1)×......×f (2015)

Answer 1

Rezolvarea se afla in fotografia de mai jos

Answer 2

   
Rezolvam ecuatia f(x) = 0  

[tex]\displaystyle\\ x^2 -3x+2=0\\\\ x_{12} = \frac{-b\pm \sqrt{b^2-4ac} }{2a}= \frac{3\pm \sqrt{9-8} }{2}= \frac{3\pm \sqrt{1} }{2}=\frac{3\pm 1 }{2}\\\\ x_1 =\frac{3+ 1 }{2}=\frac{4}{2}=\boxed{\bf 2}\\\\ x_2 =\frac{3-1 }{2}=\frac{2}{2}=\boxed{\bf 1}\\\\ \Longrightarrow~~\boxed{\bf f(1) = f(2) = 0}\\\\ \Longrightarrow~\bf~f(0)\times f(1)\times f(2)\times f(3)\times \cdots \times f(2015) =\\\\=f(0)\times 0 \times 0 \times f(3)\times \cdots \times f(2015) = \boxd{\bf 0}[/tex]