Question

se stie ca x + 1/x = 4
cat este
a.)x la 2 + 1/x la 2=
b.)x la 3 + 1/x la 3=
c.)x la 4 + 1/x la 4=
 URGENT

Answer 1

x + 1/x = 4

a) (x + 1/x)^2 = 16

x^2 + 2 + (1/x)^2 = 16

x² + (1/x)² = 14

b)

(x +1/x)³ = 64

x³ + 3x + 3/x + 1/x³ = 64

x³ + 1/x³ + 3(x + 1/x) = 64

x³ + 1/x³ + 3 * 4 = 64

x³ + 1/x³ = 52

c) (x² + 1/x²)² = 196

x^4 + 1/x^4 = 194