Question

valoarea expresiei E(x)=x^4-1+(x^2+1)^2 pentru x=√3 ESTE ......
VA ROG MULT URGENT

Answer 1

E(x)=x^4-1+(x^2+1)^2 pentru x=√3

$\it E(x)=x^4-1+(x^2+1)^2=(x^2)^2-1^2 +(x^2+1)^2 =\\ \\ =(x^2-1)(x^2+1)+(x^2+1)(x^2+1)=(x^2+1)(x^2-1+x^2+1)=\\ \\ =(x^2+1)\cdot2x^2$

$\it E(\sqrt3)=[(\sqrt3)^2+1]\cdot2(\sqrt3)^2=(3+1)\cdot2\cdot3=\\ \\ =4\cdot2\cdot3=24$

Answer 2

E(√3) = $\sqrt{3} ^{4}$-1+(√3²+1)² = 3²-1+(3+1)² = 9-1+4² = 8+16 = 24 ;