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Byju's Answer
Standard X
Mathematics
Discriminant
(α₁,α₂), (α₂,...
Question
(α₁,α₂), (α₂,α3) and (α3,α₁) are respectively the roots of x² - 2ax + 2 = 0, x² -2bx + 3 = 0, x² - 2cx + 6 = O. If α₁,α₂,α3 € R+, then the value of a + b + c is equal to (1) 2 (3) 6 (2) 3 (4) 12
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Similar questions
Q.
If
α
,
β
,
γ
are the roots of the cubic
x
3
−
2
x
+
3
=
0
, then value of
1
α
3
+
β
3
+
6
+
1
β
3
+
γ
3
+
6
+
1
γ
3
+
α
3
+
6
is equal to
Q.
If
α
is non-real and
α
=
5
√
1
,
then the value of
2
∣
∣
1
+
α
+
α
2
+
α
3
−
α
−
1
−
α
−
2
∣
∣
is equal to
Q.
If
α
is nonreal and
α
=
5
√
1
then the value of
2
|
1
+
α
+
α
2
+
α
3
+
α
−
1
|
is equal to
Q.
If
α
,
β
are the roots of the quadratic equation
x
2
−
p
x
+
q
=
0
, then
(
α
+
β
)
x
−
(
α
2
+
β
2
)
x
2
2
+
(
α
3
+
β
3
)
x
3
3
−
…
∞
=
Q.
If
α
,
β
are roots of
x
2
−
x
+
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=
0
then find
α
3
+
β
3
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