If z is complex root of the equation `x^3+1=0` and `(1+z)^7 = P+Qz` then P + Q is

If p and q are the roots of the equation x^2 - 15x + r = 0 and. p - q = 1 , then what is the value of r?

If z_(1) and z_(2) are the complex roots of the equation (x-3)^(3) + 1=0 , then z_(1) +z_(2) equal to

If z_(1)andz_(2) are the complex roots of the equation (x-3)^(3)+1=0, then z_(1)+z_(2) equal to 1 b.3 c.5d.7

If p and q are roots of the equation 2x^2-7x+3 then p^2+q^2=

If one root is square of the other root of the equation x^(2)+px+q=0, then the relation between p and q is (2004,1M)p^(3)-(3p-1)q+q^(2)=0p^(3)-q(3p+1)+q^(2)=0p^(3)+q(3p-1)+q^(2)=0p^(3)+q(3p+1)+q^(2)=0

If one root is square of the other root of the equation x^(2)+px+q=0, then the relation between p and q is p^(3)-q(3p-1)+q^(2)=0p^(3)-q(3p+1)+q^(2)=0p^(3)+q(3p-1)+q^(2)=0p^(3)+q(3p+1)+q^(2)=0

Prove that quadrilateral formed by the complex numbers which are roots of the equation z^(4) - z^(3) + 2z^(2) - z + 1 = 0 is an equailateral trapezium.