Question

if a and b are the roots of the equation x2+x+1=0 then a2 +b2 is​

Answer 1

Answer:

-1

Step-by-step explanation:

Comparing the above eqn with αx^2+βx+c

α=1,β=1,c=1

Since a and b are the roots, we know sum of roots =(-β/α) and product of roots =(c/α)

So Here a+b= (-1/1)= -1

and ab = 1

Now a^2+b^2=(a+b)^2-2ab

= (-1)^2 - 2*1 = 1-2 =-1