Question

If alpha and beta are zeros of quadratic polynomial x2-5x+6 then find the value of alpha^2 +beta^2 plus alpha beta

Answer 1

If we factorise x square - 5 x + 6
We will get 2 and 3 as zeros
Therefore ,
alpha = 2 , Beta = 3
Put the values of alpha and beta in,
Alpha square + beta square + alpha beta .
So, 2 square + 3 square + 2 . 3 = 19