Question

x+y=√5 ; x.y=2
hallar:
x³+y³

Answer 1

Aplica el método de Cauchi.

(x + y)³ = (√5)³

x³ + y³ + 3xy(x + y) = √125

x³ + y³ + 3(2)(√5) = √125
 
x³ + y³ + 6√5 = 5√5

x³ + y³ = 5√5 - 6√5

x³ + y³ = - 1∛