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Mathematics
Mathematics
Problem
Let
x
,
y
,
z
x, y, z
x
,
y
,
z
be positive real numbers satisfying,
x
2
+
y
2
+
x
y
=
25
,
y
2
+
z
2
+
y
z
=
49
,
z
2
+
x
2
+
z
x
=
64.
then find the values of
(
x
+
y
+
z
)
2
−
100
…
x^2 + y^2 + xy = 25, \quad y^2 + z^2 + yz = 49, \quad z^2 + x^2 + zx = 64. \text{ then find the values of } (x+y+z)^2 - 100 \dots
x
2
+
y
2
+
x
y
=
25
,
y
2
+
z
2
+
y
z
=
49
,
z
2
+
x
2
+
z
x
=
64.
then find the values of
(
x
+
y
+
z
)
2
−
100
…
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