MathDB
Problems
Contests
National and Regional Contests
Russia Contests
Saint Petersburg Mathematical Olympiad
2011 Saint Petersburg Mathematical Olympiad
1
Easy problem
Easy problem
Source: St Petersburg Olympiad 2011, Grade 11, P1
September 15, 2017
algebra
Problem Statement
f
(
x
)
,
g
(
x
)
f(x),g(x)
f
(
x
)
,
g
(
x
)
- two square trinomials and
a
,
b
,
c
,
d
a,b,c,d
a
,
b
,
c
,
d
- some reals.
f
(
a
)
=
2
,
f
(
b
)
=
3
,
f
(
c
)
=
7
,
f
(
d
)
=
10
f(a)=2,f(b)=3,f(c)=7,f(d)=10
f
(
a
)
=
2
,
f
(
b
)
=
3
,
f
(
c
)
=
7
,
f
(
d
)
=
10
and
g
(
a
)
=
16
,
g
(
b
)
=
15
,
g
(
c
)
=
11
g(a)=16,g(b)=15,g(c)=11
g
(
a
)
=
16
,
g
(
b
)
=
15
,
g
(
c
)
=
11
Find
g
(
d
)
g(d)
g
(
d
)
Back to Problems
View on AoPS