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Byju's Answer
Standard XII
Mathematics
Definition of Function
If 3x+4x2-3...
Question
If
3
x
+
4
x
2
−
3
x
+
2
=
A
x
−
2
−
B
x
−
1
, then A +B =
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Solution
3
x
+
4
x
2
−
3
x
+
2
=
3
x
+
4
(
x
−
2
)
(
x
−
1
)
=
A
x
−
2
−
B
x
−
1
⇒
3
x
+
4
(
x
−
2
)
(
x
−
1
)
=
A
(
x
−
1
)
−
B
(
x
−
2
)
(
x
−
2
)
(
x
−
1
)
⇒
3
x
+
4
=
A
x
−
A
−
B
x
+
2
B
=
(
A
−
B
)
x
+
(
2
B
−
A
)
⇒
A
−
B
=
3
→
(
1
)
and
2
B
−
A
=
4
→
(
2
)
_____________________
B
=
7
and
A
−
7
=
3
⇒
A
=
7
+
3
=
10
∴
(
A
,
B
)
=
(
10
,
7
)
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Q.
If
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x
+
a
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+
3
x
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=
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If
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Then the value of
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Q.
(a) x
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+
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9
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2
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+3x.
(b) (x
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If
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