Asked by Emma
Write the expression as a complex number in standard form.
____5____
2- i
=2+5i
Did I get the right answer?
____5____
2- i
=2+5i
Did I get the right answer?
Answers
Answered by
Bosnian
5 / ( 2 - i ) Multiply Numerator and Denominator by 2 + i
5 ( 2 + i ) / ( ( 2 - i ) ( 2 + i ) ) =
5 ( 2 + i ) / ( 4 - 2 i + 2 i - i ^ 2 ) =
5 ( 2 + i ) / ( ( 4 - ( - 1 ) ) =
5 ( 2 + i ) / ( 4 + 1 ) =
5 ( 2 + i ) / 5 = 2 + i
5 / ( 2 - i ) = 2 + i
5 ( 2 + i ) / ( ( 2 - i ) ( 2 + i ) ) =
5 ( 2 + i ) / ( 4 - 2 i + 2 i - i ^ 2 ) =
5 ( 2 + i ) / ( ( 4 - ( - 1 ) ) =
5 ( 2 + i ) / ( 4 + 1 ) =
5 ( 2 + i ) / 5 = 2 + i
5 / ( 2 - i ) = 2 + i
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