Question

if x^2+1/x^2=14, find x^3+1/x^3

Answer 1

Answer:

1334

PLEASE MARK me AS BRAINLIST

Answer 2

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

$x + \frac{1}{x} = \sqrt{14 + 2}$

$x + \frac{1}{x} = \sqrt{16}$

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

$(x + \frac{1}{x} ) {}^{3} = 4 {}^{3}$

$x {}^{3} + \frac{1}{ {x}^{3} } + 3(x + \frac{1}{x} ) = 64$

$x {}^{3} + \frac{1}{x {}^{3} } + 12 = 64$

$x {}^{3} + \frac{1}{x {}^{3} } = 42$