5/(2 + 5i)(5 + 5i)

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1 Answer

5/[(2+5i)(5+5i)]=1/[(2+5i)(1+i)]=

1/(2+7i-5)=1/(7+7i)=(1/7)(1/(1+i))=

(1/7)(1-i)/[(1+i)(1-i)]=(1/7)(1-i)/2=(1-i)/14.
by Top Rated User (1.2m points)

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