If alpha and beta are the roots of the equation x^(2)+6x+lambda=0 and 3 alpha+2 beta=-20 ,then lambda=
If alpha,beta be the roots of the equation lambda^(2)(x^(2)-x)+2 lambda x+3=0 and lambda_(1),lambda_(2) be the two values of lambda for which alpha and beta are connected by the relation (alpha)/(beta)+(beta)/(alpha)=(4)/(3), then find the equation whose roots are ((lambda_(1))^(2))/(lambda_(2)) and ((lambda_(2))^(2))/(lambda_(1))
If alpha and beta are the roots of the equation x^(2)+5|x|-6=0 , then the value of the |tan^(-1)alpha-tan^(-1)beta| is
If alpha and beta are roots of the equation x^(2)+5|x|-6=0, then the value of |tan^(-1)alpha-tan^(-1)beta| is
If alpha and beta are the roots of the equation x^(2)-4x+1=0(alpha>beta) then find the value of f(alpha,beta)=(beta^(3))/(2)csc^(2)((1)/(2)tan^(-1)((beta)/(alpha))+(alpha^(3))/(2)sec^(2)((1)/(2)tan^(-1)((alpha)/(beta)))
If alpha and beta are the roots of the equation x^(2)-4x+1=0(alpha
IF alpha,beta are the roots of the equation 6x^(2)-5x+1=0 , then the value of tan^(-1)alpha+tan^(2)beta is