Game Development Reference
In-Depth Information
Solving this equation involves undoing the division that characterizes the value
of x. To undo the division, you can multiply by a value that results in 1
x
.
Accordingly, you can multiply by 3:
x
3
¼
3
ð
7
Þ
Multiply by the multiplicative inverse of
1
3
3
,or3
3
3
x ¼
21
1
x ¼
21
x ¼
21
As you proceed, then, you preserve the equality of the terms on both sides of the
equation and isolate the unknown term on the one side so that in the end you can
identify its value on the other side.
As with addition and subtraction, you can check your division and multiplication
activities by substituting the values you arrive at back into the original equations.
Accordingly, for the equation you solve using division:
2x
¼
10
The original equation
:
2
ð
5
Þ¼
10
Substituting the solution
:
5
¼
5
Likewise, for the equation you solve using multiplication:
x
3
¼
7
The original equation
:
21
3
¼
7
Substituting and dividing
:
7
¼
7
Exercise Set 5.2
a.
3x
2
¼ 60
b.
4x
2
¼ 42
c.
6x
2
¼ 30
