Asked by Anonymous
imaginary numbers
Find the reciprocal of 2-7i and express it in terms of a+bi
I need help
please and thank you
Find the reciprocal of 2-7i and express it in terms of a+bi
I need help
please and thank you
Answers
Answered by
Reiny
reciprocal of 2-7i is
1/(2-7i)
multiply by (2+7i)/(2+7i)
1/(2-7i)*(2+7i)/(2+7i)
= (2+7i)/(4 - 49i^2)
= (2+7i)/53
= 2/53 + 7i/53
1/(2-7i)
multiply by (2+7i)/(2+7i)
1/(2-7i)*(2+7i)/(2+7i)
= (2+7i)/(4 - 49i^2)
= (2+7i)/53
= 2/53 + 7i/53
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