If `alpha,beta` be the roots of the equation `lambda^2(x^2 - x) + 2lambda 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)`

Let alpha and beta be the values of x obtained form the equation lambda^(2) (x^(2)-x) + 2lambdax +3 =0 and if 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 value of (lambda_(1)^(2))/(lambda_(2)) + (lambda_(2)^(2))/(lambda_(1)) and (lambda_(1)^(2))/lambda_(2)^(2) + (lambda_(2)^(2))/(lambda_(1)^(2))

If alpha , beta are the roots of lambda(x^(2)+x)+x+5 =0 and lambda_(1) , lambda_(2) are the two values of lambda for which alpha , beta are connected by the relation (alpha)/(beta)+(beta)/(alpha) =4, then the value of (lambda_(1))/(lambda_(2))+(lambda_(2))/(lambda_(1)) =

alpha , beta are roots of the equation lambda(x^(2)-x)+x+5=0. If lambda_1 and lambda_2 are the two values of lambda for which the roots alpha , beta are connected b the relation (alpha )/(beta)+(beta)/(alpha)=4 , then the value of (lambda_1)/(lambda_2)+(lambda_2)/(lambda_1) is :

alpha,beta are roots of lambda(x^(2)-x)+x+5=0 If lambda1 and lambda2 are the two values of lambda for which the roots alpha,beta are connected by the realation (alpha)/(beta)+(beta)/(alpha)=4 then the value of (((lambda1)/(lambda2)+(lambda2)/(lambda1))/(14)) is:

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

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

alpha,beta are roots of the equation lambda(x^(2)-x)+x+5=0. If lambda_(1) and lambd_(2) are the two values of (alpha)/(beta)+(beta)/(alpha)=4 for which the roots

If alpha and beta are the roots of the equation x^(2)-5 lambda x-lambda^(2)=0 and alpha^(2)+beta^(2)=27/4 ,then the value of lambda^(2) is