[" (2) "ff=z=3-5i" then prove that "],[z^(3)-10z^(2)+58z-136=0]

If z=3-5i , then show that z^(3)-10z^(2)+58z-136=0

If z=3-5i , then show that z^(3)-10z^(2)+58z-136=0

If z = 3-5i then show that z^3 - 10z^2 +58z-136=0

If z = 3-5i then show that z^3 -10z^2+58z -136=0

If z=3-5i Show that z^(3)-10z^(2)+58z-136=0

If z= -3 + sqrt2i , then prove that z^(4) + 5z^(3) + 8z^(2) + 7z + 4 is equal to -29

If the complex numbers z_(1), z_(2), z_(3) represent the vertices of an equilateral triangle, and |z_(1)|= |z_(2)| = |z_(3)| , prove that z_(1)+ z_(2) + z_(3)=0

If z_(1)=iz_(2) and z_(1)-z_(3)=i(z_(3)-z_(2)), then prove that |z_(3)|=sqrt(2)|z_(1)|

Let z_(1),z_(2) and z_(3) be complex numbers such that |z_(1)|=|z_(2)|=|z_(3)|=1 then prove that |z_(1)+z_(2)+z_(3)|=|z_(1)z_(2)+z_(2)z_(3)+z_(3)z_(1)|

If z = 3 + 2i , prove that z^(2) - 6z + 13 = 0 and hence deduce that 3z^(3) - 13z^(2) + 9z + 65 = 0 .