Choosing the Best Method to Solve Quadratic Equations

Solving Directly with Square Roots

Solve (x-5)² - 50 = 0

Solving Directly

Solve -2x² + 50 = 10

Solving Directly

Solve 2(x+8)² - 10 = 88

Factoring (Quadratic Formula is a close second)

Solve 2x² + 8x + 6 = 0

Quadratic Formula (Unless you're really good at factoring)

Solve 2x² + 9x + 7 = 0

Solving Directly

Solve 2x² - 18 = 0

Solving Directly

Solve 2x² - 22 = 28

Completing the Square or Quadratic Formula

Solve 2x² - 4x + 1 = 0

Solving Directly

Solve 2x² - 7 = 193

Quadratic Formula or Advanced Factoring

Solve 2x² - 9x - 5 = 0

Quadratic Formula (Unless you're really good at factoring)

Solve 3x² + 16x + 5 = 0

Quadratic Formula or Factoring

Solve 3x² + 22x + 5 = x +5

Solving Directly

Solve 3x² = -24

Solving Directly

Solve 3x² = 150

Completing the Square or Quadratic Formula

Solve 4x - 1 = x²

Quadratic Formula or Advanced Factoring

Solve 4x² + 11x - 3

Quadratic Formula

Solve 4x² + 11x = 3x - 10

Solving Directly

Solve 4x² + 3 = 115

Solving Directly

Solve 4x² - 25 = 0

Quadratic Formula or Advanced Factoring

Solve 4x² - 4x - 4 = x²

Solving Directly with Square Roots

Solve 5(x+2)² - 9 = 21

Solving Directly

Solve 5x² - 15 = 45

Solving Directly

Solve 81x² = 4

Solving Directly

Solve 9x² = 49

Factoring

Solve x² + 3x - 18 = 0

Factoring or completing the square

Solve x² + 4x + 10= 15

Completing the Square or Factoring

Solve x² + 6x = -9

Completing the Square or Factoring

Solve x² - 2x + 16 = 6x

Solving Directly with Square Roots

Solve x² - 4 = 0

Factoring

Solve x² - 4x - 5 = 0

Factoring

Solve x² - 5x = -6

Factoring

Solve x² - x = 6