`alpha,beta` are roots of `x^(2)+x+2=0` are r,s are roots of `x^(2)+3x+4=0` then `((alpha+r)(alpha+s)(beta+r)(beta+S))/(11)` is equal to

If alpha,beta are the roots of x^(2)-px+r=0 and alpha+1,beta-1 are the roots of x^(2)-qx+r=0 ,then r is

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

If alpha,beta are roots of x^(2)-px+q=0 and alpha-2,beta+2 are roots of x^(2)-px+r=0 then prove that 16q+(r+4-q)^(2)=4p^(2)

If alpha,beta are the roots of x^2+2x-4=0 and 1/alpha,1/beta are roots of x^2+qx+r=0 then value of -3/(q+r) is

if alpha,beta the roots x^(2)+x+2=0 and gamma,delta the roots of x^(2)+3x+4=0 then find the value of (alpha+gamma)(alpha+delta)(beta+gamma)(beta+delta)

If alpha and beta are the roots of x^(2) +px+q=0 and gamma, delta are the roots of x^(2)+rx+s=0, then evaluate (alpha-gamma)(beta-gamma) (alpha-delta) (beta-deta) in terma of p,q, r and s.

If alpha ,beta ,gamma are roots of x^(3)+x^(2)-5x-1=0 then [alpha] + [beta] +[ gamma ] is equal to