z^(2)+4z-7=0

int(3z^(3)-8z+5)/(sqrt(z^(2)-4z-7))dz=(z^(2)+az+36)sqrt(z^(2)-4z-7)+b ln|z-2+sqrt(z^(2)-4z-7)| where a,b in I and C is integretion constant,then

If z=2-isqrt(7) , then show that 3z^(3)-4z^(2)+z+88=0

If z^(2)+z+1=0 , then the value of (z+(1)/(z))^(2)+(z^(2)+(1)/(z^(2)))^(2)+.......+(z^(7)+(1)/(z^(7)))^2 will be

If z=3-2i then show that z^(2)-6z+13=0 Hence find the value of z^(4)-4z^(3)+6z^(2)-4z+17

If z_(1),z_(2),z_(3),z_(4) are the roots of equation z^(4)+z^(3)+z^(2)+z+1=0, then prod_(i=1)^(4)(z_(i)+2)

If z is a complex number satisfying z^(4)+z^(3)+2 z^(2)+z+1=0 then |z|=

z is a complex number satisfying z^(4)+z^(3)+2z^(2)+z+1=0 , then |z| is equal to

z is a complex number satisfying z^(4)+z^(3)+2z^(2)+z+1=0 , then |z| is equal to

If z_(1),z_(2),z_(3),z_(4) are the roots of the equation z^(4)+z^(3)+z^(2)+z+1=0, then the least value of [|z_(1)+z_(2)|]+1 is (where [.] is GIF.)

The radius of the circle in which the sphere x^(2)=y^(2)+z^(2)+2z-2y-4z-19=0 is cut by the plane x+2y+2z+7=0 is