Question

Demuestra que es entero

Answer 1

Respuesta:

Explicación paso a paso:

a^2+1/a^2=(a+1/a)^2-2=

X^8+1/x^8=2207

(X^4+1/x^4)^2-2=2207

(X^4+1/x^4)^2=2207+2

(X^4+1/x^4)^2=2209

(X^4+1/x^4)^2=(47)^2

(X^4+1/x^4)^2-2=47

(X^2+1/x^2)^2-2=47

(X^2+1/x^2)^2= 49

X^2+1/x^2=7

(X+1/x)^2-2=7

(X+1/x)^2=9

X+1/X=+-3