If 4 is a root of `x^(2)-x-w=0`, what is the value of w?

If w != 0 and w = 2x = sqrt(2)y , what is the value w - x in terms of y?

If omega is a cube root of unity, then the value of (1 - omega + omega^2)^4 + (1 + omega - omega^2)^(4) is ……….

if omega be the cube root of unit then what is the value of |[1,omega ,omega^2],[omega, omega^2,1],[omega^2,1,omega ]| ?

If omega is complex cube root of unity ans x=omega^(2)-omega-2, then what is the vlaue of x^(2)+4x+7 ?

If omega is the cube root of unity, then then value of (1 - omega) (1 - omega^(2))(1 - omega^(4))(1 - omega^(8)) is

Assertion (A): If alpha, beta are the roots of x^(2)-x+1=0 , then alpha^(5)+beta^(5)=1 Reason (R) : The roots of x^(2)-x+1=0 are omega,omega^(2) .

If 1,x_(1),x_(2),x_(3) are the roots of x^(4)-1=0andomega is a complex cube root of unity, find the value of ((omega^(2)-x_(1))(omega^(2)-x_(2))(omega^(2)-x_(3)))/((omega-x_(1))(omega-x_(2))(omega-x_(3)))

If 1,x_(1),x_(2),x_(3) are the roots of x^(4)-1=0andomega is a complex cube root of unity, find the value of ((omega^(2)-x_(1))(omega^(2)-x_(2))(omega^(2)-x_(3)))/((omega-x_(1))(omega-x_(2))(omega-x_(3)))