[" 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, 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

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

If alpha,beta are the roots of the equation 2x^(2)+2(a+b)x+a^(2)+b^(2)=0 then find the equation whose roots are (alpha+beta)^(2) and (alpha-beta)^(2)

If alpha,beta are the roots of the equation 2x^(2)+2(a+b)x+a^(2)+b^(2)=0, then find the equation whose roots are (alpha+beta)^(2) and (alpha-beta)^(2)