`alpha, beta` are roots of `lambda ( x^2 - x) + x + 5 = 0` If `lambda1 and lambda 2` 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:

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 :

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)) =

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))

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,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, beta are the roots of x^2 – 3x + lambda = 0 (lambda in R) and alpha < 1

Let alpha , beta be the roots of x^(2) + (3- lambda) x - lambda =0 , then the value of lambda for which alpha^(2) + beta^(2) is minimum, is-