1. Solving Quadratic Equations: Square Root Method
Keeper 3
Honors Algebra II

2. Square Root Method
The “best” method whenever the quadratic equation only contains x2 terms.
Steps:
Collect all 𝑥 2 terms on one side of the equation
Move all constant terms to the other side of the equation
Add like terms
Take the square root of both sides
Simplify the root
***don’t forget the ±

3. Example
𝑥 2 −16=0

4. Example
𝑥+1 2 =49

5. Example
𝑥−3 2 =−28

6. Example
𝑥 2 +25

7. Example
𝑥 2 −2=0

8. Example
𝑥 2 +1=0

9. Example
6 𝑥 =−9

10. Example
𝑥+2 𝑥−2 =5

11. Example
3𝑥 𝑥−5 +12𝑥=−3𝑥+2

12. Example
𝑥=− 4 𝑥