Question

Знайти нулі функції f(x) =2x-x²
А) 2;0
Б)-2;2
В)0;-2
Г)0; 2 ;-2​

Answer 1

$\displaystyle\bf\\f(x)=2x-x^{2} \\\\\\f(x)=0 \ \ \ \ \Rightarrow \ \ \ 2x-x^{2} =0\\\\\\x\cdot(2-x)=0\\\\\\\left[\begin{array}{ccc}x=0\\2-x=0\end{array}\right\\\\\\\left[\begin{array}{ccc}x_{1} =0\\x_{2} =2\end{array}\right\\\\\\Otvet \ : \ A) \ 2 \ ; \ 0$