Question

if alpha 1 Beta satisfy x2 - x +1 =0 then (alpha) 403 +(Beta) 403​

Answer 1

Answer:

using concept of cube root of -1.

Step-by-step explanation:

$here \: \alpha = - w \: and \: \beta = - w {}^{2} so \: \alpha {}^{403} = ( - w) {}^{403} = - w \: and \: \beta {}^{403} = ( - w {}^{2} ) {}^{403} = - w {}^{2} so \: \alpha {}^{403} + \beta {}^{403} = - w - w {}^{2} = 1.ans \:$