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Byju's Answer
Standard X
Mathematics
Quadratic Equations
4 × 2-2a 2+b ...
Question
4
x
2
-
2
(
a
2
+
b
2
)
x
+
a
2
b
2
=
0
Open in App
Solution
Given
:
4
x
2
−
2
(
a
2
+
b
2
)
x
+
a
2
b
2
=
0
⇒
4
x
2
−
2
a
2
x
−
2
b
2
x
+
a
2
b
2
=
0
⇒
2
x
(
2
x
−
a
2
)
−
b
2
(
2
x
−
a
2
)
=
0
⇒
(
2
x
−
b
2
)
(
2
x
−
a
2
)
=
0
⇒
2
x
−
b
2
=
0
or
2
x
−
a
2
=
0
⇒
x
=
b
2
2
or
x
=
a
2
2
H
ence, the roots of the equation are
b
2
2
and
a
2
2
.
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2
Similar questions
Q.
Solve
4
x
2
−
2
(
a
2
+
b
2
)
x
+
a
2
b
2
=
0
Q.
Solve each of the following quadratic equations:
4
x
2
−
2
(
a
2
+
b
2
)
x
+
a
2
b
2
=
0
Q.
Solve the following quadratic equation by factorisation.
4
x
2
−
2
(
a
2
+
b
2
)
x
+
a
2
b
2
=
0
.
Q.
Greatest ratio of roots of
4
x
2
−
2
(
a
2
+
b
2
)
x
+
a
2
b
2
=
0
if
a
=
2
b
Q.
In
Δ
A
B
C
, if
c
4
−
2
(
a
2
+
b
2
)
c
2
+
a
4
+
a
2
b
2
+
b
4
=
0
then
∠
C
=
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