If `alpha+beta=4` and `alpha^3+beta^3=44` then `alpha,beta` are the roots of the equation

If alpha+beta=4" and "alpha^(3)+beta^(3)=44" the "alpha, beta are the roots of the equation

Two real numbers alpha and beta are such that alpha+beta=3 and | alpha-beta|=4 then alpha nad beta are the roots of the equation:

If alpha+beta=3 and a^(3)+beta^(3) = 7 , then alpha and beta are the roots of the equation

If alpha+beta=3 and a^(3)+beta^(3) = 7 , then alpha and beta are the roots of the equation

If tan alpha.tan beta=a and alpha+beta=(pi)/(3) then tan alpha and tan beta are the roots of the equation

Find the equation whose roots are (alpha)/(beta) and (beta)/(alpha) , where alpha and beta are the roots of the equation x^(2)+2x+3=0 .

If alpha ne beta and alpha^(2) = 5 alpha - 3, beta^(2) = 5 beta - 3 , then the equation having alpha//beta and beta/alpha as its roots, is :

If the roots of the equation ax^(2)-bx+c=0 are alpha,beta, then the roots of the equation b^(2)cx^(2)-ab^(2)x+a^(3)=0 are (1)/(alpha^(3)+alpha beta),(1)/(beta^(3)+alpha beta) b.(1)/(alpha^(2)+alpha beta),(1)/(beta^(2)+alpha beta) c.(1)/(alpha^(4)+alpha beta),(1)/(beta^(4)+alpha beta) d.none of these

If alpha+beta=5 and alpha^(3) +beta^(3)=35 , find the quadratic equation whose roots are alpha and beta .