Question

Determinati abscisele punctelor de intersectie a graficelor functilor :
f : R → R , f(x)= x²-x , si g ;R → R, g(x)=2x-2

Answer 1

$f(x)=x^2-x \\ g(x)=2x-1 \\ Intersectia\ graficelor\ functiilor\ \Leftrightarrow\ rezolvarea\ ecuatiei \\ f(x)=g(x) \\ x^2-x=2x-2 \\ x^2-3x+2=0 \\ x^2-x-2x+2=0 \\ x(x-1)-2(x-1)=0 \\ (x-1)(x-2)=0 \\ x_1=1 \\ x_2=2 \\ Raspuns:\ S=\{1;2\}$