If `a,b,c, alpha,beta,gamma,delta` are real then number of imaginary roots of `(a^(2))/(x-alpha)+(b^(2))/(x-beta)+(c^(2))/(x-gamma)-x+delta=0` are

If alpha,beta,gamma,delta are the roots of x^(4)-x^(3)-7x^(2)+x+6=0 then alpha^(4)+beta^(4)+gamma^(4)+delta^(4)=

If alpha,beta,gamma,delta are the roots of the equation 3x^(4)-8x^(3)+2x^(2)-9=0 then sum alpha beta=

If alpha,beta,gamma,delta are the roots of the equation x^(4)+x^(2)+1=0 then the equation whose roots are alpha^(2),beta^(2),gamma^(2),delta^(2) is

If alpha,beta,gamma are the roots of x^(3)+ax^(2)+bx+c=0 then Sigma((alpha)/(beta)+(beta)/(alpha))=

If alpha,beta,gamma,delta are the roots of the equation x^(4)+Ax^(3)+Bx^(2)+Cx+D=0 such that alpha beta gamma delta =k and A,B,C,D are the roots of x^(4)-2x^(2)+4x^(2)+6x-21=0 such that A+B=0 then the value of (C)/(A), is

If alpha,beta,gamma,delta are the roots of 5x^(4)-9x^(3)+2x^(2)-15x+20=0, then the equation whose roots are -alpha,-beta,-gamma,-delta is

If alpha,beta,gamma,delta are the roots of 3x^(4)-8x^(3)+x^(2)-10x+5=0, then the equation whose roots are -alpha,-beta,-gamma,-delta is

If alpha, beta, gamma, delta are the roots of the equation x^(4)+Ax^(3)+Bx^(2)+Cx+D=0 such that alpha beta= gamma delta=k and A,B,C,D are the roots of x^(4)-2x^(3)+4x^(2)+6x-21=0 such that A+B=0 The value of (alpha+beta)(gamma+delta) is terms of B and k is

If alpha,beta,gamma,delta in R satisfy ((alpha+1)^(2)+(beta+1)^(2)+(gamma+1)^(2)+(delta+1)^(2))/(alpha+beta+gamma+delta)=4 If biquadratic equation a_(0)x^(4)+a_(1)x^(3)+a_(2)x^(2)+a_(3)x_(a-)-4=0 has (alpha+(1)/(beta)-1),(beta+(1)/(gamma)-1),(gamma+(1)/(delta)-1),(delta+(1)/(alpha)-1) then the value of (a_(2))/(a_(0)) is