Find all roots of the equation
`x^(6)-x^(5)+x^(4)-x^(2)+x-1=0.`

Find the roots of the equation x+(1)/(x)=3, x ne 0

Find the roots of the equation x-(1)/(3x)=(1)/(6)(x ne 0)

Find all roots of the equation x^4+2x^3-16x^2-22x+7=0 , if one root is 2+sqrt3

Find the roots of the quadratic equation 6x^(2)-x-2=0 .

Find the roots of the equation (1)/(x)-(1)/(x-2)=3, x ne 0,2

Find all roots of X^(5)-1=0.

If alpha,beta are the roots of the equation a x^2+b x+c=0, then find the roots of the equation a x^2-b x(x-1)+c(x-1)^2=0 in term of alpha and beta .

If alpha, beta, gamma 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 C/A is

If alpha, beta, gamma 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 correct statement is

Find the values of a for which all the roots of the euation x^4-4x^3-8x^2+a=0 are real.