Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
α
,
β
\alpha, \beta
α
,
β
be the roots of the equation
x
2
+
2
2
x
−
1
=
0
x^2 + 2\sqrt{2}x - 1 = 0
x
2
+
2
2
x
−
1
=
0
. The quadratic equation, whose roots are
α
4
+
β
4
\alpha^4 + \beta^4
α
4
+
β
4
and
1
10
(
α
6
+
β
6
)
\frac{1}{10}(\alpha^6 + \beta^6)
10
1
(
α
6
+
β
6
)
, is: (A)
x
2
−
190
x
+
9466
=
0
x^2 - 190x + 9466 = 0
x
2
−
190
x
+
9466
=
0
(B)
x
2
−
195
x
+
9466
=
0
x^2 - 195x + 9466 = 0
x
2
−
195
x
+
9466
=
0
(C)
x
2
−
195
x
+
9506
=
0
x^2 - 195x + 9506 = 0
x
2
−
195
x
+
9506
=
0
(D)
x
2
−
180
x
+
9506
=
0
x^2 - 180x + 9506 = 0
x
2
−
180
x
+
9506
=
0
Browse the problem library