Question

Fie functia f(x)=(a la puterea a 2 -1)x+a+1.Aflati a asa incat A(2;0)€ Gf.

Answer 1

A(2;0)= Gf <=> f(2)=0 <=> (a^2-1) *2 +a+1=0 <=> 2* (a^2) -2 +a+1=0 <=> 2 (a^2)+a-1=0 ; => delta =1^2- 4*2*(-1)=9 => a= [-1+- rad 9]/ (2*2) => a apartine {-1; 1/2}