Solving Quadratics with Square Roots

I can solve quadratic equations by isolating the squared term and taking the square root.

• 1

  To solve the equation (4x + 1)² - 8 = 0, we can add 8 to both sides and then take the square root of both sides.

• 2

  When solving (x - 5)² = 9 by taking the square root, we get x - 5 = ±3, so x = 8 or x = 2.

• 3

  If we have x² + 18x + 81 = 1, we can rewrite the left side as (x + 9)² and then solve by taking the square root of both sides to get x = -8 or x = -10.