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

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

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

If alpha, beta be the roots of 4x^2-17x+lambda=0, lambda in R such that 1 lt alpha lt 2 and 2 lt beta lt 3 then the number of integral values of lambda is

If alpha,beta be the roots of 4x^(2)-17x+lambda=0,lambda in R such that 1

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)+6x+lambda=0 and 3 alpha+2 beta=-20 ,then lambda=

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

alpha,beta are the roots of the equation x^(2)-4x+lambda=0, and gamma,delta are the roots of the equation x^(2)-64x+mu=0. If alpha,beta,gamma,delta form an increasing G.P,find the values of alpha,beta,gamma,delta

If alpha, beta are the roots of the equation λ (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))=

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