Question

Si: x-1/x = 2 Hallar: E=x^4+1/x^4 a)36 b)34 c)38 d)2 e)31

Answer 1

Respuesta:

b) 34

Explicación paso a paso:

x-1/x=2

(x-1/x)² = $2^{2}$

x²+1/x²-2(x)(1/x) = 4

x²+1/x²-2 = 4

(x²+1/x²)²=6²

$x^{4} +\frac{1}{x^{4} } +2(x^{2})(\frac{1}{x^{2} } )$=36

$x^{4} +\frac{1}{x^{4} }$+2=36

$x^{4} +\frac{1}{x^{4} }$=34

E=$x^{4} +\frac{1}{x^{4} }$

E=34