Game Development Reference
In-Depth Information
Exercise Set 9.2
Solve the following equations using the quadratic formula. After you solve the equation, use the
value of the discriminant to determine which solutions are valid.
a. 3x
2
8x ¼ 4
b. x
2
þ 7x 3 ¼ 0
c. 9u
2
8u þ 3 ¼ 0
d. x
2
5x þ 6 ¼ 0
e. 2x
2
x ¼6
f. 3a
2
18a ¼ 4
g. r
2
þ 4 ¼ 6r
h. h
2
þ h þ 1 ¼ 0
i. 12b
2
þ 9b ¼ 1
j. 3x xðx 2Þ¼4
Using Visual Formula
Use Visual Formula to implement a quadratic equation. Then use this equation
to test different values for quadratic. Set up the quadratic equation using the
standard form of a quadratic equation:
f ðxÞ¼ax
2
þ bx þ c
Here is an equation you can use for practical purposes of implementation:
f ðxÞ¼
3
x
2
þ
3
x
1
To implement this equation, use the upper equation composition area. Refer to
Figure 9.14 and follow these steps:
1. Click the Value menu item five times in succession and, with each click,
position a field in the upper equation composition area. Position the first
two fields in close proximity to each other, skip enough space to allow for a
field and an operator, and then position the third and fourth fields in close
