1. SOLVING QUADRATICS: THE SQUARE ROOT PRINCIPLE PART 3

2. TO APPLY THE SQUARE ROOT PRINCIPLE THE QUADRATIC EQUATION MUST BE WRITTEN AS A A = (a + b) 2

3. TO SOLVE USING THE SQUARE ROOT PRINCIPLE Must have “perfect square” variable expression on one side and constant on the other ; note—the constant doesn’t have to be a perfect square, just the variable expression must be “perfect” Examples: x 2 = 16 (x – 4) 2 = 9 (2x – 1) 2 = 5

4. Circle the “perfect squares” X 2 = 4 a 2 = 8 16n 2 + 2n = 4 36d 2 = 1 (m + 3) 2 + m = 10 (2k -1) 2 = 3

5. APPLYING THE SQUARE ROOT PRINCIPLE RATIONAL ROOTS

6. APPLYING THE SQUARE ROOT PRINCIPLE IRRATIONAL ROOTS

7. APPLYING THE SQUARE ROOT PRINCIPLE Verify with calculator

8. APPLY THE SQUARE ROOT PRINCIPLE 36d 2 = 1 (2k -1) 2 = 3

9. IN QUADRATIC EQUATIONS…

10. WHAT ARE THE SOLUTIONS TO THE EQUATION? HINT: Isolate the x 2, then apply the square root principle.