(19) x² + 2x + I (x +1) (x+1) = Cx+i)? x² = | (x²+ 2% +1) t 2x+1. 2+2x+1 y2 /x² + 2x +l 2x +1 x2 %3D x² +2X +1. 2x +| B Cx+1)2 -> (x+1)2 (x+1) ACXH) +B Ax +IA + B = 2x +1 → x(A) + IA +B = 2x+1 A = 2 A +B = | 2+8 = 1
(19) x² + 2x + I (x +1) (x+1) = Cx+i)? x² = | (x²+ 2% +1) t 2x+1. 2+2x+1 y2 /x² + 2x +l 2x +1 x2 %3D x² +2X +1. 2x +| B Cx+1)2 -> (x+1)2 (x+1) ACXH) +B Ax +IA + B = 2x +1 → x(A) + IA +B = 2x+1 A = 2 A +B = | 2+8 = 1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 51E
Related questions
Question
Find partial fraction decomposition (I had work through everything, but I find my answer does not match with answer key, but I don't know where I did wrong)
![10:26 PM Mon Apr 18
* 40%
(19) x +2x + |
(x +1) (x+1).
=(X+1)?
y2 /x²+2x +l
x²
2+2x+1
| (x²+ 2x+1) t 2x+1
X2 +2x+1
2x+1
x?
%3D
+2x+1
x² +2x +.
2x + 1
B
>
(x+1)2
(x+1)
ACxti) + B
Ax + IA + B = 2x +| → X(A) + IA +B = 2x+.
%3D
A = 2
A +B = |
2+B = 1
B= -|
3
4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3651bc5-cd2c-43d5-bdfb-11943a13f854%2F51d14eaf-6c94-4262-bdea-222718a14978%2Fgcf72p_processed.png&w=3840&q=75)
Transcribed Image Text:10:26 PM Mon Apr 18
* 40%
(19) x +2x + |
(x +1) (x+1).
=(X+1)?
y2 /x²+2x +l
x²
2+2x+1
| (x²+ 2x+1) t 2x+1
X2 +2x+1
2x+1
x?
%3D
+2x+1
x² +2x +.
2x + 1
B
>
(x+1)2
(x+1)
ACxti) + B
Ax + IA + B = 2x +| → X(A) + IA +B = 2x+.
%3D
A = 2
A +B = |
2+B = 1
B= -|
3
4
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