1. SOLVING QUADRATIC EQUATIONS Unit 7

2. SQUARE ROOT PROPERTY IF THE QUADRATIC EQUATION DOES NOT HAVE A “X” TERM (THE B VALUE IS 0), THEN YOU SOLVE THE EQUATIONS BY ISOLATING THE VARIABLE.

3. EXAMPLES:

4. SOLVE BY FACTORING IF THE QUADRATIC EQUATION CANNOT BE SOLVED BY ISOLATING THE VARIABLE, TRY SETTING THE EQUATION EQUAL TO ZERO AND FACTORING.

5. EXAMPLES

6. COMPLETE THE SQUARE IF THE 2 PREVIOUS METHODS DO NOT WORK, YOU NEED TO MAKE THE EQUATION FACTORABLE BY COMPLETING THE SQUARE. (MOVE THE CONSTANT TERM TO THE RIGHT SIDE. HALVE THE MIDDLE COEFFICIENT AND SQUARE IT. ADD THE CONSTANT TO BOTH SIDES).

7. EXAMPLES

8. A MUST BE 1:

9. QUADRATIC FORMULA THE QUADRATIC FORMULA IS A METHOD THAT ALWAYS WORKS. THE EQUATIONS MUST BE IN STANDARD FORM. IDENTIFY THE a, b, and c values AND SUBSTITUTE THE VALUES INTO THE FORMULA.

10. QUADRATIC FORMULA

11. THE DISCRIMINANT: DETERMINES HOW MANY SOLUTIONS AN EQUATION WILL HAVE. If > 0, then there are 2 real solutions. If < 0, then there are 2 non-real solutions If = 0, then there is 1 real solution.