Question

x^3 + x^-3 si c= 1+1/x=4

Answer 1

Respuesta:

730/27

Explicación paso a paso:

$1 + \frac{1}{x} = 4 \\ \frac{x + 1}{x} = 4 \\ x + 1 = 4x \\ x - 4x = - 1 \\ - 3x = - 1 \\ 3x = 1 \\ x = \frac{1}{3} \\ \\ {x}^{3} + {x}^{ - 3} \\ ( \frac{1}{3} )^{3} + ( \frac{1}{3} )^{ - 3} \\ \frac{1}{27} + \frac{1}{( \frac{1}{3}) ^{3} } \\ \frac{1}{27} + \frac{1}{ \frac{1}{27} } \\ \frac{1}{27} + \frac{1 \times 27}{1 \times 1} \\ \frac{1}{27} + 27 = \frac{1 + 27(27)}{27} \\ \frac{1 + 729}{27} = \frac{730}{27} \\ 27.037037037....$