Game Development Reference
In-Depth Information
c. 4a
2
þ 8a þ 3 ¼ 0
d. 2a
2
þ 5a þ 2 ¼ 0
e. a
2
6a ¼ 0
f. b
2
þ 6b ¼ 7
g. b
2
þ 10 ¼ 6b
h. 2x
2
5x 3 ¼ 0
i. 9x
2
þ 18x þ 8 ¼ 0
j. 6t
2
t ¼ 15
The Quadratic Formula
Completing the square provides a reliable approach to solving quadratic equa-
tions, but you can also use an approach that involves applying the quadratic
formula. To use the quadratic formula, you first put the equation you are dealing
with in a standard form. As mentioned before, the standard form of a quadratic
equation is as follows:
ax
2
þ bx þ c ¼
0
It is not absolutely necessary that you set up the equation in this way, but if you
do, then it becomes easier to use the quadratic formula to work with it. The
quadratic formula is stated as follows:
p
b
2
x ¼
b
4
ac
2
a
Consider the following quadratic equation:
2
x
2
þ
3
x ¼
7
To rewrite the equation in standard form, you add
7 to both sides:
2
x
2
þ
3
x
7
¼
0
You can then identify
a
,
b
, and
c
as follows:
a ¼
2,
b ¼
3, and
c¼
7.
