If the roots of x square + 6x + 5 = 0 are Alfa and beta , then Alfa + beta=
Answers
Answered by
1
Answer:
alfa and beta means
Step-by-step explanation:
didn't understand
Answered by
2
Answer ⤵️
Explanation:
α
and
β
are roots of
x
2
−
6
x
−
2
So,
⇒
α
2
−
6
α
−
2
=
0
⇒
α
2
=
6
α
+
2
Multiply
α
8
both sides.
⇒
α
2
×
α
8
=
α
8
(
6
α
+
2
)
⇒
α
10
=
6
α
9
+
2
α
8
equation
1
Similarly
⇒
β
2
=
6
β
+
2
⇒
β
10
=
6
β
9
+
2
β
8
equation
2
We have
⇒
a
n
=
α
n
−
β
n
(
where
α
>
β
)
we have to find
⇒
a
10
−
2
a
8
a
9
Or
⇒
α
10
−
β
10
−
2
(
α
8
−
β
8
)
2
a
9
From equation
1
and
2
⇒
6
α
9
+
2
α
8
−
6
β
9
−
2
β
8
−
2
α
8
+
2
β
8
2
a
9
⇒
6
(
α
9
−
β
9
)
2
a
9
⇒
6
a
9
2
a
9
⇒
3
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