WHRHS
Unit 12 – Solving Quadratic Equations
2012-2013
Algebra 2CP
Unit 12 – Day E – More Solving Quadratic Equations –
WHAT YOU NEED TO KNOW…..
QUADRSTIC FORMULA – The Quadratic Formula can be used to SOLVE ANY quadratic
ax 2  bx  c  0 .
equation as long as the equation is put into Standard Form
Once in Standard Form then you Identify a, b & c and substitute into the formula which
looks like this: x 
b  b2  4ac
: You have to MEMORIZE!
2a
Example 1:
Example 2:
6 x 2  13 x  2  0
x
b  b  4ac
2a
x
13  13  4(6)(2)
2(6)
4 x 2  8 x  13  0
a  4, b  8, c  13
2
2
13  169  48
12
13  121 13  11
x

12
12
1
x   or x  2
6
x
x
b  b 2  4ac
2a
x
(8)  (8) 2  4(4)(13)
2(4)
8  64  109 8  144

8
8
8  12i
3
x
 1 i
8
2
x
**Hint – Method always stays the SAME just the Numbers are Different – so Remember all you
know about how to deal with real numbers, fractions & complex numbers!
x2 + 8x + 15 = 0
Solve by factoring:
Solve by using the quadratic formula:
WHRHS
2012-2013
Examples: Solve Using Quadratic Formula:
1. x 2  3x  10  0
2. x 2  4 x  8  0
3. x 2  5 x  36  0
Unit 12 – Solving Quadratic Equations
Algebra 2CP
WHRHS
2012-2013
4. y 2  2 y  35
5. 12 x 2  5 x  2
6. 8 x 2  2  10 x  5
7. 4 w2  8w  3
Unit 12 – Solving Quadratic Equations
Algebra 2CP
WHRHS
2012-2013
Unit 12 Day E HW Page:
Unit 12 – Solving Quadratic Equations
Algebra 2CP
First try to solve by factoring. If you are unable to solve by factoring, solve the
equation using the quadratic formula.
1. v 2  2v  7  0
2. x 2  14 x  24
3. 4 x 2  4 x  7  0
WHRHS
2012-2013
4. 4 w2  4 w  1  0
5. t 2  6t  10  0
6. 3 y 2  6 y  1  0
Unit 12 – Solving Quadratic Equations
Algebra 2CP
WHRHS
2012-2013
7. 3 x 2  10 x  6  0
8. y 2  8 y  20  0
9.
p2  4 p  5  0
Unit 12 – Solving Quadratic Equations
Algebra 2CP