Question

if x plus one upon X is equals to minus 4 find the value of x squared plus one upon x square

Answer 1

$x + \frac{1}{x} = 4 \: \: \: \: \: \: \: \: \: \: |given$



Square on both sides,


( x + 1 / x )^2 = ( - 4 ) ^2



=> x^2 + 1 / x^2 + 2( x × 1 / x ) = 16


=> x^2 + 1 / x^2 + 2 = 16


=> x^2 + 1 / x^2 = 16 - 2


$\boxed{ \bold{ {x}^{2} + \frac{1}{ {x}^{2} } = 14}}$

Answer 2

x + 1/x = -4
(x + 1/x)^2 = x^2 + 2 + 1/x^2
16 = x^2 + 2 + 1/x^2
x^2 + 1/x^2 = 14