HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 278
Example 3
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hp40g+.book Page 4 Friday, December 9, 2005 1:03 AM Press to evaluate the selection. It remains to transform 3 12 and combine it with -6 3 . Follow the same procedure as undertaken a number of times above. You will find that 3 12 is equal to 6 3 , and so the final two terms cancel each other out. Hence the result is C=4 5 Example 3 Given the expression D = (3x - 1)2 - 81 : • expand and reduce D • factor D • solve the equation (3x - 10) ⋅ (3x + 8) = 0 and • evaluate D for x = 5. Solution: First, enter D using the Equation Writer: 3 X 1 2 81 Press to select (3X - 1)2 and to expand the expression. This gives: 9x2 - 6x + 1 - 81 16-4 Step-by-Step Examples
16-4
Step-by-Step Examples
Press
to
evaluate the selection
.
It remains to transform
and combine it
with
. Follow the
same procedure as
undertaken a number of
times above. You will find that
is equal to
, and so the final two terms cancel each other
out.
Hence the result is
Example 3
Given the expression
:
•
expand and reduce
D
•
factor
D
•
solve the equation
and
•
evaluate
D
for
x
= 5.
Solution:
First, enter
D
using the Equation Writer:
3
X
1
2
81
Press
to select
and
to
expand the expression. This
gives:
3
12
6
3
–
3
12
6
3
C
4
5
=
D
3
x
1
–
(
)
2
81
–
=
3
x
10
–
(
)
3
x
8
+
(
)
⋅
0
=
3
X
1
–
(
)
2
9
x
2
6
x
–
1
81
–
+
hp40g+.book
Page 4
Friday, December 9, 2005
1:03 AM