Question

x² + x + 1 = 0 find x+ 1/x

Answer 1

Answer:

$\huge \boxed{x = - 1}$

${x}^{2} + x + 1 = 0$

${x}^{2} + 1 = - x.....(i)$

$\huge \: now : -$

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

$= \frac{ - x}{x} (from \: equation \: i)$

$\huge \: = - 1$

$\sf\bigstar \orange{hope\: this \:helps\: you \: follow \: me}$