# Basic Algebra/Solving Quadratic Equations/Solving Quadratic Equations By Taking The Square Root of Both Sides

## VocabularyEdit

## LessonEdit

One way to solve a quadratic is to use square root. Steps:

- Factor a quadratic so that y=(x+z)^2 (z is determined by the quadratic)
- Take the square root of both sides, so ±(y^0.5)=x+z
- Y is 0, so the square root is zero. Therefore, 0=±(x+y)
- Solve for x

## Example problemsEdit

- 200=2x^2 + 38
- 162=2x^2
- ±81=x^2
- ±9=x

- 64=x^2 + 6x + 9
- 64=(x+3)^2
- 8=x+3
- ±5=x