Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the sum of $2 - 7i$ and its complex conjugate. $\newline$ Write your answer in the form $a + bi$ .

View step-by-step help

View step-by-step help

Add and subtract complex numbers

Full solution

Q. Find the sum of

2 - 7i

and its complex conjugate.

\newline

Write your answer in the form

a + bi

.

Identify the real and imaginary parts:The coefficient of i is imaginary and the number without i is real.
In $2 - 7i$ , $2$ is the real part and $-7$ is the imaginary part.
Identify Complex Conjugate: Reasoning: Identify the complex conjugate of $2 - 7i$ .
Calculation: The complex conjugate of $2 - 7i$ is $2 + 7i$ .
Add complex number and conjugate:Add the original complex number and its conjugate.
Calculation: $(2 - 7i) + (2 + 7i) = 2 + 2 + (-7i + 7i) = 4 + 0i = 4$

More problems from Add and subtract complex numbers

Question

\newline

8i + 6i

\newline

\newline

Write your answer in the form

a + bi

Posted 5 months ago

Question

Find the complex conjugate of the given number.

\newline

4 + 10i

\newline

\newline

Write your answer in the form

a + bi

Posted 5 months ago

Question

\newline

\frac{{-4i}}{{-9i}}

\newline

\newline

Write your simplified answer in the form

a + bi

Posted 5 months ago

Question

Combine the like terms to create an equivalent expression.

\newline

7k-k+19=\boxed{\phantom{0}}

Posted 10 months ago

Question

Apply the distributive property to factor out the greatest common factor.

\newline

9+12 n=

Posted 5 months ago

Question

Solve the equation.

\newline

\begin{aligned} & 12=n-9 \\ n= & \square \end{aligned}

Posted 10 months ago

Question

What is the amplitude of

y=-\sin (8 x-3)+5

\newline

Posted 8 months ago

Question

What is the period of

\newline

y=4 \sin (-2 x+7)-1 \text { ? }

\newline

Give an exact value.

\newline

Posted 8 months ago

Question

3 \cdot(3+20 i)=

\newline

Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

Posted 10 months ago

Question

(35-23 i)+(13+25 i)=

\newline

Express your answer in the form

(a+b i)

Posted 8 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant