If the modulus of the complex number a + bi equals a, then we KNOW that

Woockashek asked Apr 2, 2022

205,222 views

31 votes

Woockashek asked Apr 2, 2022

2.7k points

Your comment on this question:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

22 votes

Answer:

b = 0

Explanation:

The modulus of a + bi is

| a + bi | =
√(a^2+b^2) , then

√(a^2+b^2) = a ( square both sides )

a² + b² = a² ( subtract a² from both sides )

b² = 0 ⇒ b = 0

Noscreenname answered Apr 8, 2022

3.0k points

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers