Solve (3-4i)-(-3-4i) | Microsoft Math Solver

Type a math problem

Evaluate

6

Solution Steps

(3 - 4 i) - (- 3 - 4 i)

The opposite of

- 3 - 4 i

3 + 4 i

3 - 4 i + (3 + 4 i) = 6

Combine the real and imaginary parts in numbers

3 - 4 i

and

3 + 4 i

3 + 3 + (- 4 + 4) i = 6

Add

3

3

. Add

- 4

4

6

Real Part

6

Solution Steps

(3 - 4 i) - (- 3 - 4 i)

The opposite of

- 3 - 4 i

3 + 4 i

R e (3 - 4 i + (3 + 4 i)) = 6

Combine the real and imaginary parts in numbers

3 - 4 i

and

3 + 4 i

R e (3 + 3 + (- 4 + 4) i) = 6

Add

3

3

. Add

- 4

4

R e (6) = 6

The real part of

6

6

6

Imaginary Part

0

Solution Steps

(3 - 4 i) - (- 3 - 4 i)

The opposite of

- 3 - 4 i

3 + 4 i

I m (3 - 4 i + (3 + 4 i)) = 0

Combine the real and imaginary parts in numbers

3 - 4 i

and

3 + 4 i

I m (3 + 3 + (- 4 + 4) i) = 0

Add

3

3

. Add

- 4

4

I m (6) = 0

The imaginary part of

6

0

0

Complex Conjugate

6

Solution Steps

(3 - 4 i) - (- 3 - 4 i)

The opposite of

- 3 - 4 i

3 + 4 i

c o n j u g a t e (3 - 4 i + (3 + 4 i)) = 6

Combine the real and imaginary parts in numbers

3 - 4 i

and

3 + 4 i

c o n j u g a t e (3 + 3 + (- 4 + 4) i) = 6

Add

3

3

. Add

- 4

4

c o n j u g a t e (6) = 6

Complex conjugate of

6

6

, the number with the same real part and the opposite imaginary part.

6

Complex Modulus

6

Solution Steps

(3 - 4 i) - (- 3 - 4 i)

The opposite of

- 3 - 4 i

3 + 4 i

∣ 3 - 4 i + (3 + 4 i) ∣ = 6

Combine the real and imaginary parts in numbers

3 - 4 i

and

3 + 4 i

∣ 3 + 3 + (- 4 + 4) i ∣ = 6

Add

3

3

. Add

- 4

4

∣ 6 ∣ = 6

The modulus of a complex number

a + b i

a^{2} + b^{2}

. The modulus of

6

6

6

Complex Argument

0

Quiz

Complex Number

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(3 - 4 i) - (- 3 - 4 i)

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3-4i+\left(3+4i\right)=6

The opposite of -3-4i is 3+4i.

3+3+\left(-4+4\right)i=6

Combine the real and imaginary parts in numbers 3-4i and 3+4i.

Add 3 to 3. Add -4 to 4.

Re(3-4i+\left(3+4i\right))=6

The opposite of -3-4i is 3+4i.

Re(3+3+\left(-4+4\right)i)=6

Combine the real and imaginary parts in numbers 3-4i and 3+4i.

Re(6)=6

Add 3 to 3. Add -4 to 4.

The real part of 6 is 6.

Im(3-4i+\left(3+4i\right))=0

The opposite of -3-4i is 3+4i.

Im(3+3+\left(-4+4\right)i)=0

Combine the real and imaginary parts in numbers 3-4i and 3+4i.

Im(6)=0

Add 3 to 3. Add -4 to 4.

The imaginary part of 6 is 0.

conjugate(3-4i+\left(3+4i\right))=6

The opposite of -3-4i is 3+4i.

conjugate(3+3+\left(-4+4\right)i)=6

Combine the real and imaginary parts in numbers 3-4i and 3+4i.

conjugate(6)=6

Add 3 to 3. Add -4 to 4.

Complex conjugate of 6 is 6, the number with the same real part and the opposite imaginary part.

|3-4i+\left(3+4i\right)|=6

The opposite of -3-4i is 3+4i.

|3+3+\left(-4+4\right)i|=6

Combine the real and imaginary parts in numbers 3-4i and 3+4i.

|6|=6

Add 3 to 3. Add -4 to 4.

The modulus of a complex number a+bi is \sqrt{a^{2}+b^{2}}. The modulus of 6 is 6.

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\frac{d}{d x} \frac{( 3 x ^{2} - 2 )}{( x - 5 )}

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Limits

x \to - 3 lim \frac{x ^{2} - 9}{x ^{2} + 2 x - 3}

Topics

Topics

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