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3
Solve y^2 - [x]^2 = 19.99 and x^2 + [y]^2 = 1999 in R
Solve y^2 - [x]^2 = 19.99 and x^2 + [y]^2 = 1999 in R
Source: 0
June 28, 2011
conics
hyperbola
parabola
function
probability
floor function
Problem Statement
Find all pairs
(
x
,
y
)
(x, y)
(
x
,
y
)
of real numbers such that
y
2
−
[
x
]
2
=
19.99
and
x
2
+
[
y
]
2
=
1999
y^2 - [x]^2 = 19.99 \text{ and } x^2 + [y]^2 = 1999
y
2
−
[
x
]
2
=
19.99
and
x
2
+
[
y
]
2
=
1999
where
f
(
x
)
=
[
x
]
f(x)=[x]
f
(
x
)
=
[
x
]
is the floor function.
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