If `alpha and beta` are the roots of the equation `x^(2) +6x + 1 = 0 ," then what is "|alpha - beta|` equal to?

If alpha and beta are the roots of the equation x^(2) + px + q =0, then what is alpha ^(2) + beta ^(2) equal to ?

If alpha and beta are the roots of the equation x ^(2) + alpha x + beta = 0, then

If alpha and beta are the roots of the equation x ^(2) + 3x - 4 = 0 , then (1)/(alpha ) + (1)/(beta) is equal to

If alpha and beta are the roots of the equation x^2+x+1=0 , then alpha^2+beta^2 is equal to:

If alpha and beta are roots of the equation x^(2)+x+1=0 , then alpha^(2)+beta^(2) is equal to

If alpha and beta are the roots of the equation x^(2)-x-1=0 , then what is (alpha^(2)+beta^(2))/((alpha^(2)-beta^(2))(alpha-beta)) equal to ?