Question

If x+1/x=-3 find the value of x2+1/x2​

Answer 1

Answer:

${x}^{2} + \frac{1}{ {x}^{2} } = 7$

Step-by-step explanation:

$x + \frac{1}{x} = ( - 3) \\ squaring \: on \: both \: the \: sides \\ {(x + \frac{1}{x} )}^{2} = {( - 3)}^{2} \\ {(x)}^{2} + { (\frac{1}{x} )}^{2} + 2(x)( \frac{1}{x} ) = 9 \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 9 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 9 - 2 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 7$