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Byju's Answer
Standard X
Mathematics
Quadratic Equations
12 abx2-9a2-8...
Question
12
a
b
x
2
-
(
9
a
2
-
8
b
2
)
x
-
6
a
b
=
0
Open in App
Solution
Given
:
12
a
b
x
2
−
(
9
a
2
−
8
b
2
)
x
−
6
a
b
=
0
⇒
12
a
b
x
2
−
9
a
2
x
+
8
b
2
x
−
6
a
b
=
0
⇒
3
a
x
(
4
b
x
−
3
a
)
+
2
b
(
4
b
x
−
3
a
)
=
0
⇒
(
3
a
x
+
2
b
)
(
4
b
x
−
3
a
)
=
0
⇒
3
a
x
+
2
b
=
0
or
4
b
x
−
3
a
=
0
⇒
x
=
−
2
b
3
a
or
x
=
3
a
4
b
H
ence, the roots of the equation are
−
2
b
3
a
and
3
a
4
b
.
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0
Similar questions
Q.
Solve for x:
12
a
b
x
2
-
(
9
a
2
-
8
b
2
)
x
-
6
a
b
=
0
.
Q.
12
a
b
x
2
−
(
9
a
2
−
8
b
2
)
x
−
6
a
b
=
0
Q.
12
a
b
x
2
−
(
9
a
2
−
8
b
2
)
x
−
6
a
b
=
0
, where
a
≠
0
a
n
d
b
≠
0
?
Q.
Evaluate
12
a
b
x
2
−
(
9
a
2
−
8
b
2
)
x
−
6
a
b
=
0
, where
a
≠
0
and
b
≠
0
.
Q.
Solve for x :
12
a
b
x
2
–
(
9
a
2
−
8
b
2
)
x
–
6
a
b
=
0
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