Solve with Complex Numbers

Front

Simplify: -3i(4 + 2i)

Back

6 - 12i

Front

Multiply: (2 + 3i)(2 - 3i)

Back

13

Front

Subtract: (2 + 3i) - (2 - 3i)

Back

6i

Front

Add: (2 + 3i) + (2 - 3i)

Back

4

Front

What is the vertex for f(x)=4(x - 2)² + 3?

Back

(2,3)

Front

Definition of 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 to multiply complex numbers?

Back

To multiply complex numbers, use the distributive property and combine like terms, remembering that i² = -1.

Front

What is the conjugate of a complex number?

Back

The conjugate of a complex number a + bi is a - bi.

Front

How to add complex numbers?

Back

To add complex numbers, add the real parts and the imaginary parts separately.