Question

se t + (1 / t) = K, Calcule em função de K: a) t² + (1/t²) b) t³ + (1 / t³)

Answer 1

Resposta:

a)

t² + (1/t²) =?

[t+(1/t)]² =k²

t²+2*t*(1/t) +(1/t)²=k²

t²+1/t²  = k² - 2  é a resposta

b)

t³+1/t³ = ?

(t+1/t)³  = k³

(t+1/t)³ =t³+ 3*t²*(1/t) + 3*t*(1/t)²+(1/t)³ =k³

****t+1/t = k

t³+3*(t+1/t)+(1/t)³=k³

t³+1/t³ +3*k =k³

t³+1/t³= k³-3k  é a resposta