If `alpha, beta` are roots of the equation `2x^2 + 6x + b = 0 (b < 0),` then `alpha/beta+beta/alpha` is less than

If alpha, beta are roots of the equation x^(2) + ax + b = 0 , then maximum value of - x^(2) + ax + b + (1)/(4) (alpha - beta )^(2) is

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

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

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 roots of the equation x^2 – x-1 = 0 , then the equation where roots are alpha/beta and beta/alpha is:

If alpha , beta roots of the equations x^(2) - 5x + 6 = 0 , find the value of alpha^(2) - beta^(2) .

If alpha, beta are the roots of the equation x^(2)-ax+b=0 .then the equation whose roots are 2 alpha+(1)/(beta), 2 beta+(1)/(alpha) is