Question

if x+1/x=4 find the value of x²+1/x²​

Answer 1

Step-by-step explanation:

$x + \frac{1}{x} = 4 \\ \\ square \: both \: sides \\ \\ ( {x + \frac{1}{x} )}^{2} = ( {4)}^{2} \\ \\ {x}^{2} + ( { \frac{1}{x}) }^{2} + 2 \times x \times \frac{1}{x} = 16 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 16 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 16 - 2 = 14$