" he sum of the roots of the equation "x^(2)-x=lambda(2x-1)" is zero,then "lambda=

If the sum of the roots of the equation x^(2)-x=k(2x-1) be zero, then k _____.

If the sum of the roots of the equation x^2-x=K(2x-1) is zero, then find the value of K.

If the equation x^(2)+lambda x+mu=0 has equal roots and one root of the equation x^(2)+lambda x-12=0 is 2 ,then (lambda,mu) =

If lambda in R is such that the sum of the cubes of the roots of the equation x^(2)+(2-lambda)x+(10-lambda)=0 is minimum then the magnitude of the difference of the roots of this equation is :

The value of lambda for which the sum of squares of roots of the equation x^(2)+(3-lambda)x+2=lambda is minimum,then lambda is equal to (a) 2 (b) -1 (c) -3(d)-2

The value of lambda for which the sum of squares of roots of the equation x^2+(3-lambda)x+2=lambda is minimum, then lambda is equal to (a) 2 (b) -1 (c) -3 (d) -2

If alpha and beta are the roots of the equation x^(2)+6x+lambda=0 and 3 alpha+2 beta=-20 ,then lambda=

The number of real roots of the equation 4x^(3)-x^(2)+lambda^(2)x-mu=0 , mu in R, lambda > 1 is

If alpha, beta are the roots of the equation lambda(x^(2)-x)+x+5=0 and if lambda_(1) and lambda_(2) are two values of lambda obtained from (alpha)/(beta)+(beta)/(alpha)=(4)/(5) , then (lambda_(1))/(lambda_(2)^(2))+(lambda_(2))/(lambda_(1)^(2)) equals

If alpha,beta be the roots of the equation 4x^(2)-16x+lambda=0 where lambda in R such that 1