Math

QuestionFind the real and imaginary parts of the complex number 4+5i2\frac{4+5 i}{2}.

Studdy Solution

STEP 1

Assumptions1. The complex number is 4+5i\frac{4+5i}{}, where ii is the imaginary unit with the property i=1i^ = -1. . We need to find the real and imaginary parts of this complex number.

STEP 2

A complex number is of the form a+bia + bi, where aa is the real part and bb is the imaginary part. To find the real and imaginary parts of the given complex number, we simply need to divide both the real and imaginary parts by the denominator.

STEP 3

Divide the real part of the complex number by the denominator.
Realpart=2Real\, part = \frac{}{2}

STEP 4

Calculate the real part.
Realpart=42=2Real\, part = \frac{4}{2} =2

STEP 5

Divide the imaginary part of the complex number by the denominator.
Imaginarypart=5i2Imaginary\, part = \frac{5i}{2}

STEP 6

Calculate the imaginary part.
Imaginarypart=5i2=2.5iImaginary\, part = \frac{5i}{2} =2.5iThe real part of the complex number is2 and the imaginary part is2.5i.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord