3.2/ 3.3 Complex Numbers and Complete the Square 24-25 H

Front

What does i² equal?

Back

-1

Front

Create a Perfect Square Trinomial: x² + 6x + ____

Back

9

Front

When completing the square: x² - 4x + 4 = 20, what goes in the blank? (x - __ )² = 20

Back

2

Front

What is the first step to solving the equation a² + 10a + 21 = 0 by completing the square?

Back

Subtract the 21

Front

What is one of the solutions to the equation (2x - 1)² = 49?

Back

-3

Front

What is a complex number?

Back

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

i is defined as the square root of -1.

Front

How do you complete the square for the expression x² + bx?

Back

Take half of b, square it, and add it to both sides.

Front

What is the formula for a perfect square trinomial?

Back

(a + b)² = a² + 2ab + b².

Front

What is the vertex form of a quadratic equation?

Back

y = a(x - h)² + k, where (h, k) is the vertex.