Question

if alpha and beta are the roots of the quadratic polynomial f(x) =x^2 +2x+1,then find alpha +beta

Answer 1

${x}^{2} + 2x + 1 = 0 \\ by \: factorisation \\ {x}^{2} + x + x + 1 = 0 \\ x(x + 1) + 1(x + 1) = 0 \\ (x + 1)(x + 1) = 0 \\ x = - 1 \\ x = - 1 \\ x + x = ( - 1) + ( - 1) = - 2$

Answer 2

α+β = -b/a
here it is -2/1