Once you have a system of equations generated by the partial fraction decomposition, can you explain another method to solve it? For example if you had 7 x + 13 3 x 2 + 8 x + 15 = A x + 1 + B 3 x + 5 , we eventually 7 x + 13 = A ( 3 x + 5 ) + B ( x + 1 ) .Explain how you could intelligently choose an x-value that will eliminate either A or B and solve for A and B.
Once you have a system of equations generated by the partial fraction decomposition, can you explain another method to solve it? For example if you had 7 x + 13 3 x 2 + 8 x + 15 = A x + 1 + B 3 x + 5 , we eventually 7 x + 13 = A ( 3 x + 5 ) + B ( x + 1 ) .Explain how you could intelligently choose an x-value that will eliminate either A or B and solve for A and B.
Once you have a system of equations generated by the partial fraction decomposition, can you explain another method to solve it? For example if you had
7
x
+
13
3
x
2
+
8
x
+
15
=
A
x
+
1
+
B
3
x
+
5
, we eventually
7
x
+
13
=
A
(
3
x
+
5
)
+
B
(
x
+
1
)
.Explain how you could intelligently choose an x-value that will eliminate either A or B and solve for A and B.
write the partial fraction decomposition of the rational expression: (2x2 - 18x - 12)/(x3 - 4x)
The rational expression ( 8x² + 3x)/((x² + 1)(x² + 4)) has partial fractions
expansion
Ax + B
Cx + D
x² + 1
x² + 4
What is the value of A ?
+
This one might not be an integer. Enter your answer as a decimal number with at
least three decimal places (if neces
ecessary).
The rational expression ( 8x² + 3x)/((x² + 1)(x² + 4)) has partial fractions
expansion
Ax + B
Cx + D
x² + 1
x² + 4
What is the value of D?
+
This one might not be an integer. Enter your answer as a decimal number with at
least three decimal places (if necessary).
Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)
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