Completing the Square

Front

What is the process of completing the square?

Back

Completing the square is a method used to convert a quadratic equation into a perfect square trinomial, making it easier to solve or analyze.

Tags

CCSS.HSA-REI.B.4B

Front

What is the formula for completing the square for the expression x² + bx?

Back

The formula is x² + bx = (x + b/2)² - (b/2)².

Tags

CCSS.HSA-REI.B.4B

Front

Complete the square: x² + 6x + ____

Back

x² + 6x + 9.

Tags

CCSS.HSA-REI.B.4B

Front

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

Back

2.

Tags

CCSS.HSA-REI.B.4B

Front

Solve by completing the square: k² − 12k + 23 = 0

Back

{6 + √13, 6 - √13}.

Tags

CCSS.HSA-REI.B.4B

Front

Solve by completing the square: x² + 12x = 5

Back

X = -6 + √41 or -6 - √41.

Tags

CCSS.HSA-REI.B.4B

Front

Complete the square: x² + 10x + ____

Back

x² + 10x + 25.

Tags

CCSS.HSA-REI.B.4B

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is an expression of the form (a + b)² = a² + 2ab + b².

Tags

CCSS.HSA.APR.C.4

Front

How do you find the value to complete the square for x² + bx?

Back

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

Tags

CCSS.HSA-REI.B.4B

Front

What is the vertex form of a quadratic equation?

Back

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