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Byju's Answer
Standard XII
Mathematics
Integration by Partial Fractions
The number of...
Question
The number of value(s) of
x
satisfying the equation
(
x
+
9
)
2
+
8
|
x
+
9
|
+
7
=
0
is
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Solution
(
x
+
9
)
2
+
8
|
x
+
9
|
+
7
=
0
⇒
|
x
+
9
|
2
+
8
|
x
+
9
|
+
7
=
0
(
∵
|
x
2
|
=
|
x
|
2
)
Let
|
x
+
9
|
=
t
⇒
t
2
+
8
t
+
7
=
0
⇒
t
2
+
7
t
+
t
+
7
=
0
⇒
(
t
+
7
)
(
t
+
1
)
=
0
⇒
t
=
−
7
,
−
1
We know that
|
x
+
9
|
≥
0
⇒
t
≥
0
Hence, no values of
x
is possible.
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Integration by Partial Fractions
Standard XII Mathematics
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