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Finnish National High School Mathematics Competition
2019 Finnish National High School Mathematics Comp
1
x(8\sqrt{1-x}+\sqrt{1+x}) \le 11\sqrt{1+x}-16\sqrt{1-x} when 0<x <= 1
x(8\sqrt{1-x}+\sqrt{1+x}) \le 11\sqrt{1+x}-16\sqrt{1-x} when 0<x <= 1
Source: Finland 2019, p1
September 8, 2019
algebra
equation
Problem Statement
Solve
x
(
8
1
−
x
+
1
+
x
)
≤
11
1
+
x
−
16
1
−
x
x(8\sqrt{1-x}+\sqrt{1+x}) \le 11\sqrt{1+x}-16\sqrt{1-x}
x
(
8
1
−
x
+
1
+
x
)
≤
11
1
+
x
−
16
1
−
x
when
0
<
x
≤
1
0<x\le 1
0
<
x
≤
1
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