Dividing Complex Numbers

Front

What is the result of (4-5i)(4+5i)?

Back

41

Front

What does i² equal?

Back

-1

Front

What is the result of (9+4i)/(-1-2i)?

Back

-17+14i/5

Front

What is the result of (2i)(3i)?

Back

-6

Front

What is the conjugate of (-5 + 7i)?

Back

(-5 - 7i)

Front

Define a complex number.

Back

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit.

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1.

Front

How do you find the conjugate of a complex number?

Back

To find the conjugate of a complex number a + bi, change the sign of the imaginary part, resulting in a - bi.

Front

What is the product of two complex conjugates (a + bi)(a - bi)?

Back

The product is a² + b².

Front

What is the formula for dividing complex numbers?

Back

To divide complex numbers, multiply the numerator and denominator by the conjugate of the denominator.