if z=3-5i then prove that z3-10z2+58z-136=0
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z =3-5 i so that z-3 = -5i
Squaring z^2-6z+9 = -25
z^2 - 6Z +34 = O
Now z^3 - 10z^2 +58z -136 can be written as equal to
(z^2 -6Z + 34)(Z-4)
(0)z-4)
0
Hence Z^3-10z^2 +58z-136= 0
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