1. The Quadratic Formula
Tuesday, November-30-10

2. Methods of solving quadratic equations
The Quadratic Formula
Recall:
Methods of solving quadratic equations
1) Graphically y x y x y x
Two Distinct
Real Roots
Two Equal
Real Roots
No Real Roots

3. The Quadratic Formula
2) Solve by factoring
- common
- trinomial
- difference of squares
- isolating the variable

4. The Quadratic Formula
3) The Quadratic Formula
The roots of the quadratic equation
are given by the quadratic formula:
This means:
and
Video

5. Ex 1 Solve using the quadratic formula. a)
a = 2, b = 1, c = -45 or
watch signs when keying
into your calculator

6. The Quadratic Formula or a)
The question could be done
either using the quadratic
formula or by factoring.
Not all quadratic equations
can be factored, in this case
the formula must be used
to solve the equation. or

7. The Quadratic Formula b)
a = 5, b = -3, c = -1
two distinct real roots

8. The Quadratic Formula c) a = 1, b = -6, c = 13 negative under
the square root
no real roots

9. The Quadratic Formula d) or a = 1, b = 10, c = 25
two equal real roots.

10. e) , answer accurate to 1 decimal.
The Quadratic Formula
e) , answer accurate to 1 decimal.
a = 5, b = 3, c = -12

11. Now it is your turn…..
Work Assignment
Pg # 2bei, 3acghi, 5cfj, 6f
Pg 305 # 4f
**Quiz Tomorrow**