Solve the following question.?

Question

let w be a solution of equation x^2+x+1=0, then what is the value of w^10+w^5+3?

Answer 1

The equation is .

Compare the equation with general quadratic equation .

a = 1, b = 1 and c = 1

Quadratic formula : .

Case 1 :

.

Case 2 :

.