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The roots of the eqution x^2-(k-1)x + (k...

The roots of the eqution `x^2-(k-1)x + (k + 2)=0` are `alpha and beta` . Then the sum of all possible values of k for which these roots are related as `2alpha+5beta=1` is

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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 the equation lamda (x^2-x)+x+5=0 If lamda_2 are the two values of lamda for which the roots alpha , beta are connceted by the relation ( alpha ) /( beta ) +( beta) /( alpha )=4 , then the value of ( lamda _1)/( lamda _2) +(lamda _2)/( lamda_1) is