Math, asked by shahrishi1809, 1 month ago

find the value of
 {x}^{3} -  {x}^{2} + 2x +4 when x=1+√3 i \  \textless \ br /\  \textgreater \

Answers

Answered by alanmvarghese
0

Answer:

plz make it clear

plz

then only i can answer it

Answered by rkcomp31
1

x^3-x^2+2x+4\\\\=x^2(x-1)+2x-2+6\\\\=x^2(x-1)+2x(x-1) +6 \\\\=(x-1)(x^2+2)+6\\\\=(1+\sqrt{3} i-1) [ (1+\sqrt{3i})^2+2]+6\\\\= \sqrt{3}i [ 1+( \sqrt{3}i)^2+2 \sqrt{3}+2]+6\\\\=\sqrt{3}i (1-3+2\sqrt{3}i+2)+6\\\\\bf= \sqrt{3}i(2 \sqrt{3}i)+6\\\\=-6+6\\\\=0

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