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Saint Petersburg Mathematical Olympiad
2015 Saint Petersburg Mathematical Olympiad
1
find the value
find the value
Source: saint petersburg 2015,grade 11,P1
March 14, 2016
algebra
Problem Statement
x
,
y
x,y
x
,
y
are real numbers such that
x
2
+
y
2
=
1
,
20
x
3
−
15
x
=
3
x^2+y^2=1 , 20x^3-15x=3
x
2
+
y
2
=
1
,
20
x
3
−
15
x
=
3
Find the value of
∣
20
y
3
−
15
y
∣
|20y^3-15y|
∣20
y
3
−
15
y
∣
.(K. Tyshchuk)
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