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Byju's Answer
Standard XII
Mathematics
Transformation of Roots: Algebraic Transformation
The sum of th...
Question
The sum of the squares of the roots of the equation
x
2
−
9
x
+
q
=
0
is
53
. Then the value of
q
is
A
14.00
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B
14
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
14.0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
014
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Solution
Given
x
2
−
9
x
+
q
=
0
and
a
2
+
b
2
=
53
if
a
and
b
are its roots.
⇒
a
+
b
=
9
,
a
b
=
q
Using the identity
(
a
+
b
)
2
=
a
2
+
b
2
+
2
a
b
⇒
(
9
)
2
=
53
+
2
q
81
=
53
+
2
q
⇒
q
=
14
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0
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