Question

if alpha and beta are the roots of x^2+x+1 then alpha^2+beta^2=​

Answer 1

Answer:

α^2+β^2= -1

Step-by-step explanation:

Comparing the equation x^2+x+1=0 with ax^2+bx+c=0,we get

a=1,b=1 and c=1

α+β= -b/a= -1/1= -1

α*β= c/a= 1/1= 1

α^2+β^2

= (α+β)^2-2αβ

= (-1)^2-2*1

= 1-2

= -1