AlgebraLab

Algebra II Recipe: Solving Quadratic Equations by Finding Square Roots

By G Redden

A. Steps
  1. Isolate "x2" by using inverse operations.
  2. Square root both sides to isolate "x".
  3. Give the positive and negative answer.
B. Simplifying a Radical that Is Not a Perfect Square
  1. Find the largest perfect square factor and the other factor - both factors go under radical signs.
  2. Square root the perfect square factor.
  3. Leave the other factor under its radical sign.
1.
2x² + 1 = 17
2.
4x² - 6 = 42
3.
3x² = 108