Question

if x + 1/ x = 5, find the value of x2 + 1/2x​

Answer 1

Step-by-step explanation:

$x + \frac{1}{x} = 5$

${(x + \frac{1}{x} )}^{2} = {(5)}^{2}$

${x}^{2} + {( \frac{1}{x}) }^{2} + 2(x)( \frac{1}{x} ) = 25$

${x}^{2} + \frac{1}{ {x}^{2} } + 2 = 25$

${x}^{2} + \frac{1}{ {x}^{2} } = 23$

Answer 2

Step-by-step explanation:

$x + \frac{1}{x} = 5$

${(x + \frac{1}{x} )}^{2} = {(5)}^{2}$

${x}^{2} + {( \frac{1}{x}) }^{2} + 2(x)( \frac{1}{x} ) = 25$

${x}^{2} + \frac{1}{ {x}^{2} } + 2 = 25$

${x}^{2} + \frac{1}{ {x}^{2} } = 23$