Operations of Complex Numbers

Front

What is the sum of the complex numbers 5-2i and -7+8i?

Back

-2+6i

Front

What are the solutions to the equation x² = 121?

Back

11, -11

Front

Calculate the product of (3i)(-2+4i).

Back

-12-6i

Front

What is the value of i²?

Back

-1

Front

Express the product of 1-2i and 2+3i in a+bi form.

Back

8-i

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 add two complex numbers?

Back

To add two complex numbers, add their real parts and their imaginary parts separately.

Front

What is the product of two complex numbers (a+bi)(c+di)?

Back

The product is (ac-bd) + (ad+bc)i.

Front

What is the conjugate of a complex number a+bi?

Back

The conjugate is a-bi.