Question

si : x+1/x=4 hallar x4+1/x4

Answer 1

Explicación paso a paso:

x +x^-1 = 4

(x+x^-1)^2 =4^2

x^2 +2x.x^-1 +x^-2=16

x^2 +x^-2 =14

(x^2 +x^-2)^2 =14^2

x^4+ 2.x^2.x^-2 + x^-4 =14^2

x^4+ 2 +x^-4=196

x^4 +x^-4=194

x^4 + 1/x^4 = 194