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Question 59 - Algebra Practice | Prasnya
Q59
00:00
24 Nov 2024
Q59.
The roots
α
,
β
\alpha, \beta
α
,
β
of the equation
3
x
2
+
λ
x
−
1
=
0
3x^2 + \lambda x - 1 = 0
3
x
2
+
λ
x
−
1
=
0
, satisfy
1
α
2
+
1
β
2
=
15
\dfrac{1}{\alpha^2}+\dfrac{1}{\beta^2}=15
α
2
1
+
β
2
1
=
15
. The value of
(
α
3
+
β
3
)
2
(\alpha^3+\beta^3)^2
(
α
3
+
β
3
)
2
, is
A
16
B
4
C
1
D
9
Save
Check
Details
Q59
00:00
24 Nov 2024
Q59.
The roots
α
,
β
\alpha, \beta
α
,
β
of the equation
3
x
2
+
λ
x
−
1
=
0
3x^2 + \lambda x - 1 = 0
3
x
2
+
λ
x
−
1
=
0
, satisfy
1
α
2
+
1
β
2
=
15
\dfrac{1}{\alpha^2}+\dfrac{1}{\beta^2}=15
α
2
1
+
β
2
1
=
15
. The value of
(
α
3
+
β
3
)
2
(\alpha^3+\beta^3)^2
(
α
3
+
β
3
)
2
, is
A
16
B
4
C
1
D
9
Save
Check
Details
