Question

if x square+1 by x square=14 then find the value of x + 1 by x

Answer 1

Answer:

${x}^{2} + \frac{1}{ {x}^{2} } = 194$

Step-by-step explanation:

$x + \frac{1}{x} = 14 \\ \\ \\ {(x + \frac{1}{x} )}^{2} = 196 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 196 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } = 196 - 2 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } = 194$