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1966 IMO Shortlist
31
31
Part of
1966 IMO Shortlist
Problems
(1)
Solve the equation |x^2 -1|+ |x^2 - 4| = mx
Source:
9/28/2010
Solve the equation
∣
x
2
−
1
∣
+
∣
x
2
−
4
∣
=
m
x
|x^2 -1|+ |x^2 - 4| = mx
∣
x
2
−
1∣
+
∣
x
2
−
4∣
=
m
x
as a function of the parameter
m
m
m
. Which pairs
(
x
,
m
)
(x,m)
(
x
,
m
)
of integers satisfy this equation?
function
parameterization
algebra
equation
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