Complete the Square

Front

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

Back

Subtract 21 from both sides.

Front

Complete the square: x² + 14x + ____

Back

x² + 14x + 49

Front

Complete the square: x² + 6x + ____

Back

x² + 6x + 9

Front

What value of c would make x² + 8x + c a perfect square trinomial?

Back

16

Front

Find the missing value 'c' to create a perfect square trinomial: x² + 26x + ___

Back

169

Front

What is a perfect square trinomial?

Back

A trinomial that can be expressed as the square of a binomial, e.g., (x + a)² = x² + 2ax + a².

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 the equation.

Front

If you have x² + 10x, what number do you add to complete the square?

Back

25 (because (10/2)² = 25).

Front

What is the formula for completing the square for the equation ax² + bx + c?

Back

x = -b/(2a) ± √(b² - 4ac)/(2a).

Front

What is the vertex form of a quadratic equation?

Back

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