Question

E(x)=(x+1)`2+(x-1)`2-(x-2)(x+2).Calculati E(1)+E(√2)

Answer 1

$E(x)=x^2+2x+1+x^2-2x+1-(x^2-4)=2x^2+2-x^2+4=\ \textgreater \ \\ =\ \textgreater \ E(x)=x^2+6 \\ E(1)=1^2+6=1+6=7 \\ E(\sqrt{2})=(\sqrt{2})^2+6=2+6=8 =\ \textgreater \ E(1)+E(\sqrt{2})=7+8=15.$