Completing the Square

Front

Complete the square for x² + 12x + ____ (find the missing number in the blank)

Back

x² + 12x + 36

Front

What do you do to the b value to correctly complete the square?

Back

Divide it by 2 and square the result.

Front

Solve the following equation by completing the square: n² - 2n - 3 = 0

Back

3 and -1

Front

Solve the equation by completing the square and then finding the roots: x² + 6x - 4 = 36

Back

x = 4, -10

Front

Complete the square for x² + 12x + ____

Back

x² + 12x + 36

Front

What is the formula for completing the square?

Back

(x + b/2)² - (b/2)², where b is the coefficient of x.

Front

How do you find the vertex of a parabola in standard form y = ax² + bx + c?

Back

The vertex is at (-b/2a, f(-b/2a)).

Front

What is the significance of completing the square in quadratic equations?

Back

It allows us to rewrite the equation in vertex form and easily find the vertex and roots.

Front

Complete the square for x² - 8x + ____

Back

x² - 8x + 16

Front

What is the first step in completing the square for x² + 10x?

Back

Take half of 10, which is 5, and square it to get 25.