Quadratic Formula
By: Ashleigh Chambers and Viviana Vega
When do you use the
Quadratic Formula?
numbers are complex or factors are not rational, and cannot be obtained by factoring.
Often, the simplest way to solve a polynomial is to factor the quadratic, set each factor equal to zero, and then solve each factor. But sometimes the quadratic is too messy, or it doesn't factor at all, or you just don't feel like factoring. While factoring may not always be successful, the Quadratic Formula can always find the solution.
What are you finding?
Objectives:
TSWBAT identify when it is appropriate to use the quadratic formula to solve an equation.
TSWBAT identify the parts of a quadratic polynomial and where they correspond to the quadratic formula.
Must be in standard form
ax + bx + c = 0
First find values of a, b, and c of the quadratic equation and apply them to the formula
Example:
The equation must be equal to zero!!!
This means problems like:
the equation is
simple and
factorable!
This means
problems like:
x + 6x + 5
2
x + 9x + 8
2
or
(x + 1)(x + 5)
x
+
5x
2
+
1x
+
5
x + 6x + 5
2
(x + 8)(x + 1)
x
+
1x
2
+
8x
+
8
x + 9x + 8
2
6x + 11x – 35
2
x – 5 x + 3
2
or
2
What is the quadratic formula?
By using the quadratic
formula, you
are finding the
real roots
(zeros).
How to use
the formula
Simplify
Don't forget the
+

, you
should have two answers
a = 2
b = 5
c = 7
2x + 5x + 10 = 3
2
Example:
x +
5
x +
3
= 0
2
a = 1
b = 5
c = 3
2x + 5x + 7 = 0
2
a
x +
b
x +
c
= 0
It is best not to use the formula when...
Use the formula when...
You Try It
How do you solve this quadratic?
6x + 19x + 13 = 2
2
a. Factor
b. Use the quadratic formula
c. Cry
Identify a, b, and c
6x + 19x + 12 = 2
2
a =
b =
c =
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Quadratic Formula
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