Question

Salut brainly ma puteti ajuta si pe mine cu tema la matematica
X$x^{4}+\frac{1}{x^{4}}$
Stiind ca
$a=x+\frac{1}{x}$

Answer 1

Răspuns:

Salut

a=x+1/x

a²=x²+1/x²+2x/x

a²=x²+1/x²+2

a⁴=(x²+1/x²+2)²=

x⁴+1/x⁴+4+2x²/x²+2x²*2+2*2/x²

x⁴+1/x⁴+4+2+4x²+4/x²=x⁴+1/x⁴+6+4x²+4/x²

a⁴=x⁴+1/x⁴+6+2-2+4x²+4/x²

a⁴=x⁴+1/x⁴+4x²+4/x²+8-2

a⁴=x⁴+1/x⁴+4(x²+1/x²+2)-2

a⁴=x⁴+1/x⁴+4a²-2

x⁴+1/x⁴=a⁴-4a²+2

Explicație pas cu pas: