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

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

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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

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