Completing the Square

Solve: \(x² + 8x - 9 = 0\)

Solve: \(x² + 10x + 9 = 0\)

Solve: \(x² + 14x + 45 = 0\)

Solve: \(x² - 4x = 12\)

Solve: \(x² + 4x - 12 = 0\)

To complete the square for 2x² + 8x = 10, what is the mandatory first step?

Solve: \(x² - 4x + 5 = 0\)

A student adds 16 to the left of x² + 8x = 5 but forgets to add it to the right. What will their final constant on the right be mistakenly?

The expression x² + 12x + 36 can be written as which perfect square binomial?

Solve: \(x² - 4x - 21 = 0\)

Solve: \(x² - 2x - 8 = 0\)

Solve: \(x² + 12x - 13 = 0\)

Solve: \(x² + 18x + 90 = 0\)

Solve: \(x² - 8x + 20 = 0\)

After completing the square for x² - 18x + 81, how is the trinomial rewritten?

Solve: \(x² + 6x + 5 = 0\)

Solve: \(x² + 8x + 12 = 0\)

Solve: \(x² + 14x + 50 = 0\)

For 3x² + 12x, a student factors out 3 to get 3(x² + 4x). What number should they add inside the parentheses to complete the square?

If an equation is completed to y = (x + 5)² - 2, what is the vertex of the parabola?

Solve: \(x² + 2x + 2 = 0\)

Solve: \(x² - 20x + 110 = 0\)

Solve: \(x² + 10x - 24 = 0\)

Solve: \(x² - 14x - 15 = 0\)

Solve: \(x² - 12x + 11 = 0\)

If the middle term 'b' is -8, what is the constant (b/2)² needed to complete the square?

Solve: \(x² + 2x - 5 = 0\)

When solving x² + 6x - 7 = 0 by completing the square, what should you do with the -7 first?

Convert y = x² - 4x + 7 into vertex form by completing the square.

Solve: \(x² - 12x + 40 = 0\)

Solve: \(x² + 2x - 15 = 0\)

Which constant completes the square for x² - 14x?

Solve: \(x² - 10x + 20 = 0\)

Solve: \(x² - 16x + 60 = 0\)

To complete the square for x² + 5x, what fraction must be added?

Solve: \(x² + 16x - 17 = 0\)

Solve: \(x² - 8x - 20 = 0\)

Solve: \(x² - 6x - 16 = 0\)

Solve: \(x² - 16x + 70 = 0\)

Solve: \(x² + 6x + 10 = 0\)

Solve: \(x² - 2x = 3\)

Solve: \(x² + 2x - 1 = 0\)

Solve: \(x² - 8x + 7 = 0\)

Solve: \(x² + 4x - 5 = 0\)

To complete the square for x² + 10x, you take half of 10 and square it. What number must be added?

Solve: \(x² - 10x - 11 = 0\)

Solve by completing the square: \(x² - 6x + 2 = 0\)

Solve: \(x² + 6x - 27 = 0\)

Solve: \(x² + 10x + 26 = 0\)

If you add 9 to the left side of an equation to complete the square, what must you do to the right side to keep it balanced?