-8 whole 1/2<-1/2-4x<=7 whole 1/2
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5
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ANSWER
(x−1)(x+2)
2
9
=
x−1
A
+
x+2
B
+
(x+2)
2
C
=>9=A(x+2)
2
+B(x−1)(x+2)+C(x−1) -(1)
For x=1,=>9=A(3)
2
+B(0)+C(0)
=>9=9A
=>A=1 - (2)
For x=−2,=>9=A(0)+B(0)+C(−2−1)
=>9=−3C
=>C=−3 -(3)
Now , we have found out value of A and C , to find value of B , put x = any real number .
Let x =0 , then equation (1) reduces to 9=4A−2B−C
=>9=4−2B
=>2=−2B
=>B=−1 -(4)
Therefore from (2),(3),(4) we get
(x−1)(x+2)
2
9
=
x−1
1
−
x+2
1
−
(x+2)
2
3
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Answer:
ur ans is 3
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