Question

Cine ma ajuta la exercitiul 2,va rog mult

Answer 1

Salut,

a+1/a = 5/2 /²

(a+1/a)² = (5/2)²
a²+2•a•1/a+1/a² = 25/4
a²+2+1/a² = 25/4
a²+1/a² = 25/4-2
a²+1/a² = 25/4-8/4
a²+1/a² = 17/4.


Succes! :3

Answer 2

$a+\frac{1}{a}=\frac{5}{2}$
$\Big(a+\frac{1}{a}\Big)\Up^2=\Big(\frac{5}{2}\Big)\Up^2$
$a^2+2a\cdot\frac{1}{a}+\Big(\frac{1}{a}\Big)\Up^2=\frac{25}{4}$
$a^2+2+\frac{1}{a^2}=\frac{25}{4}$
$a^2+\frac{1}{a^2}=\frac{25}{4}-2$
$a^2+\frac{1}{a^2}=\frac{25-8}{4}=\frac{17}{4}$