A) 5
B) 6
C) - 5
D) - 4
Correct Answer: A
Solution :
Given that \[z=3-4i\]Þ \[{{z}^{2}}=-7-24i\], \[{{z}^{4}}=-117-44i\]and \[{{z}^{4}}=-527+336i\] \\[{{z}^{4}}-3{{z}^{3}}+3{{z}^{2}}+99z-95=5\] Aliter: \[z=3-4i\]Þ \[{{(z-3)}^{2}}=-16\] Þ\[{{z}^{2}}-6z+25=0\] \[{{z}^{4}}-3{{z}^{3}}+3{{z}^{2}}+99z-95\] \[=({{z}^{2}}+3z-4)({{z}^{2}}-6z+25)+5\] \[=({{z}^{2}}+3z-4)(0)+5=5\]You need to login to perform this action.
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