If `lambda, mu` be real numbers such that `x^3-lambda x^2 + mux-6=0` has its roots real and positive then minimum value of mu is

If lambda, mu are real numbers such that , x^(3)-lambdax^(2)+mux-6=0 has its real roots and positive, then the minimum value of mu, is

If lambda, mu are real numbers such that , x^(3)-lambdax^(2)+mux-6=0 has its real roots and positive, then the minimum value of mu, is

If lambda, mu are real numbers such that , x^(3)-lambdax^(2)+mux-6=0 has its real roots and positive, then the minimum value of mu, is

if the roots of the cubic x^(3)-12x^(2)+ax-64=0 are positive real numbers, then find the minimum value of a

find the values of lambda such that the equation tan^(2)x+lambda tan x+4=0 has atleast one real root

If 3x^2-17x+10=0 and x^2-5x+lambda=0 has a common root then sum of all possible real values of lambda is

a and b are the roots of the quadratic equation x^2 + lambdax - 1/(2lambda^(2)) =0 where x is the unknown and lambda is a real parameter. The minimum value of a^(4) + b^(4) is:

If a

If 2x^(3)+ax^(2)+bx+4=0 (a and b are positive real numbers) has three real roots. The minimum value of a^(3) is