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[" Hence,the required complexnum "],[[" EXAMPLE "27," If "z=3+2i" ,prove that "z^(2)-6z+13=0" and "x" ice deduce that "],[3z^(3)-13z^(2)+9z+65=0]]

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

If z=2-3i , show that z^(2)-4z+13=0

If z=2-3i, then show that z^(2)-4z+13=0 .

If z=2-3i show that z^(2)-4z+13=0 and hence find the value of 4z^(3)-3z^(2)+169

If z = 2-3i , show that z^2- 4z+13= 0 and hence find the value of 4z^3 - 3z^2 + 169 .

If z = 2-3i , then show that z^2 - 4z + 13 = 0

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=2-3i show that z^2-4z+13=0 and hence find the value of 4z^3-3z^2+169.

If z=2-3i show that z^2-4z+13=0 and hence find the value of 4z^3-3z^2+169.

If z=1+2i , show that z^(2)-2z+5=0 . Hence find the value of z^(3) +7z^(2)-z+16 .