Question

Which of the following is the conjugate of a complex number with 5 as the real part and −2 as the imaginary part?

a. 5 + 2i
b. −5 − 2i
c. −5 + 2i
d. 5 − 2i

Answer 1

Hello!

Given two real numbers "a" and "b", the complex number z is defined as:

The complex conjugate of "Z = a + bi" is "Z = a – bi"

Given the complex number
`Z = a - bi`, "a" is called the real part and "b" the imaginary part.

Therefore:

Re(a) = 5

Im(b) = -2

`z = a - bi`

`z = 5 - (-2)i`

`\boxed{\boxed{z = 5 + 2i}}\end{array}}\qquad\checkmark`

Answer:

a. 5 + 2i

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I Hope this helps, greetings ... DexteR! =)