Question

if x-1/2=4 evaluate xpower 4+1*xpower4​

Answer 1

Answer:

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

Squaring on both sides

${x}^{2} + {( \frac{1}{x}) }^{2} + 2 = 16$

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

Squaring on both sides

${x}^{4} + \frac{1}{ {x}^{4} } + 2 = 196$

${x}^{4} + \frac{1}{ {x}^{4} } = 194$

So answer is 194