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National and Regional Contests
Nepal Contests
Nepal National Olympiad
2018 Nepal National Olympiad
2a
Nepal National Olympiad
Nepal National Olympiad
Source: Nepal Mathematics Olympiad
April 22, 2018
algebra
Problem Statement
Problem Section #2 a) If
a
x
+
b
y
=
7
ax+by=7
a
x
+
b
y
=
7
a
x
2
+
b
y
2
=
49
ax^2+by^2=49
a
x
2
+
b
y
2
=
49
a
x
3
+
b
y
3
=
133
ax^3+by^3=133
a
x
3
+
b
y
3
=
133
a
x
4
+
b
y
4
=
406
ax^4+by^4=406
a
x
4
+
b
y
4
=
406
, find the value of
2014
(
x
+
y
−
x
y
)
−
100
(
a
+
b
)
.
2014(x+y-xy)-100(a+b).
2014
(
x
+
y
−
x
y
)
−
100
(
a
+
b
)
.
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