MathDB
Problems
Contests
National and Regional Contests
Sweden Contests
Swedish Mathematical Competition
1994 Swedish Mathematical Competition
1
1
Part of
1994 Swedish Mathematical Competition
Problems
(1)
decimal expansions fo roots of x\sqrt8 + 1/(x\sqrt8) = \sqrt8 in place 1994
Source: 1994 Swedish Mathematical Competition p1
4/2/2021
x
8
+
1
x
8
=
8
x\sqrt8 + \frac{1}{x\sqrt8} = \sqrt8
x
8
+
x
8
1
=
8
has two real solutions
x
1
,
x
2
x_1, x_2
x
1
,
x
2
. The decimal expansion of
x
1
x_1
x
1
has the digit
6
6
6
in place
1994
1994
1994
. What digit does
x
2
x_2
x
2
have in place
1994
1994
1994
?
equation
algebra
Digit