Question

Fie f:R-R, f(x) =x^2-mx+2.Să se determine m€R știind că f(1+x) =f(1-x)

Answer 1

(1+x)^2-m(1+x)+2=(1-x)^2-m(1-x)+2

1+2x+x^2-m-mx+2=1+2x+x^2-m+mx+2

-mx=mx

2mx=0

m=0