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Mathematics
Problem
Let
A
(
x
,
y
,
2
)
A(x,y,2)
A
(
x
,
y
,
2
)
satisfy
y
=
x
+
1
y=x+1
y
=
x
+
1
and be
13
13
13
units from the point
B
(
1
,
5
,
−
2
)
B(1,5,-2)
B
(
1
,
5
,
−
2
)
. If
x
>
0
x>0
x
>
0
, find the ordered pair
(
x
,
y
)
(x,y)
(
x
,
y
)
. a)
(
5
−
3
33
2
,
7
−
3
33
2
)
\left(\dfrac{5-3\sqrt{33}}{2},\,\dfrac{7-3\sqrt{33}}{2}\right)
(
2
5
−
3
33
,
2
7
−
3
33
)
b)
(
5
+
3
33
2
,
7
+
3
33
2
)
\left(\dfrac{5+3\sqrt{33}}{2},\,\dfrac{7+3\sqrt{33}}{2}\right)
(
2
5
+
3
33
,
2
7
+
3
33
)
c)
(
5
+
329
2
,
7
+
329
2
)
\left(\dfrac{5+\sqrt{329}}{2},\,\dfrac{7+\sqrt{329}}{2}\right)
(
2
5
+
329
,
2
7
+
329
)
d)
(
1
+
337
2
,
3
+
337
2
)
\left(\dfrac{1+\sqrt{337}}{2},\,\dfrac{3+\sqrt{337}}{2}\right)
(
2
1
+
337
,
2
3
+
337
)
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