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Byju's Answer
Standard XIII
Mathematics
Relation between Roots and Coefficients for Quadratic
If α, β are r...
Question
If
α
,
β
are roots of
x
2
−
5
x
−
8
=
0
and
t
n
=
α
n
−
β
n
, then
t
6
−
8
t
4
5
t
5
is
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Solution
α
+
β
=
5
,
α
β
=
−
8
t
6
−
8
t
4
5
t
5
=
(
α
6
−
β
6
)
+
(
α
β
)
(
α
4
−
β
4
)
5
(
α
5
−
β
5
)
=
α
5
(
α
+
β
)
−
β
5
(
α
+
β
)
5
(
α
5
−
β
5
)
=
5
5
=
1
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2
Similar questions
Q.
Let
α
and
β
are the roots of
x
2
+
5
x
−
7
=
0
and
S
n
=
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+
β
n
, then
Q.
If
α
,
β
are the roots of the
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−
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+
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then
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Q.
If
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x
2
−
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=
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and if
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n
+
β
n
=
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n
, then
Q.
If
α
,
β
are roots of
375
x
2
−
25
x
−
2
=
0
and
S
n
=
α
n
+
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n
, then
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Q.
If
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,
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are the roots of
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∣ ∣
∣
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n
=
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Standard XIII Mathematics
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