If `x^(2) + alpha_(1)x + beta_(1) = 0` and `x^(2) + alpha_(2)x + beta_(2) = 0` have a common root `(x-k)`, then find k.

alpha , beta are the roots of x^2+kx+2=0 . If alpha - beta =1 then K=

Let alpha_(1),beta_(1) be the roots x^(2)-6x+p=0 and alpha_(2),beta_(2) be the roots x^(2)-54x+q=0 .If alpha_(1),beta_(1),alpha_(2),beta_(2) form an increasing G.P.then sum of the digits of the value of (q-p) is

If alpha,beta are the roots of x^(2)+7x+3=0 ,then (alpha-1)^(2)+(beta-1)^(2)=

IF alpha , beta are the roots of x^(2)-x+2=0 then alpha ^ 2 beta + alpha beta ^2 =

If the roots of a_(1)x^(2)+b_(1)x+c_(1)=0 are alpha_(1),beta_(1) and those of a_(2)x^(2)+b_(2)x+c_(2)=0 are alpha_(2),beta_(2) such that alpha_(1)alpha_(2)=beta_(1)beta_(2)=1 then

If alpha , beta are the roots of x^2 +x+1=0 then alpha beta + beta alpha =

If alpha and beta are the roots of x^(2)+bx+c=0 and alpha+k and beta+k are the roots of x^(2)+qx+r=0 then k=

If alpha and beta are the roots of equation x^2-4x+1=0 , find alpha^2+beta^2