Imaginary Number Intro

Front

What is an imaginary number?

Back

An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit 'i', where i is defined as the square root of -1.

Front

What is the value of i^2?

Back

i^2 = -1.

Front

Simplify: √(-100)

Back

± 10i.

Front

What is the standard form of a complex number?

Back

The standard form of a complex number is a + bi, where a is the real part and b is the imaginary part.

Front

What is the result of adding two imaginary numbers, 3i and 4i?

Back

7i.

Front

What is the result of multiplying two imaginary numbers, i and i?

Back

i * i = i^2 = -1.

Front

Simplify: 7x^2 - 5x + 3 - 2x^2 - 2x - 1

Back

5x^2 - 7x + 2.

Front

What is the product of (x + 7)(x + 9)?

Back

x^2 + 16x + 63.

Front

What is the product of (2x - 1)(x + 2)?

Back

2x^2 + 3x - 2.

Front

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

Back

The conjugate is a - bi.