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 the expression: 3x^2 - x + 7 + 5x + 2 - 2x^2

Back

x^2 + 4x + 9.

Front

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

Back

5x^2 - 7x + 2.

Front

What is the result of simplifying ±√10i?

Back

±√10i is already in its simplest form.

Front

What is the result of simplifying ±6i?

Back

±6i is already in its simplest form.

Front

What is the product of (x - 3)(x + 10)?

Back

x^2 + 7x - 30.

Front

What is the 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 real part of the complex number 4 + 5i?

Back

The real part is 4.

Front

What is the imaginary part of the complex number 4 + 5i?

Back

The imaginary part is 5.