Find the minimum value of x² + y² +2² having given ax+by+cz = p
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(ax+by+cz)
2
≤(a
2
+b
2
+c
2
)(x
2
+y
2
+z
2
)⟹x
2
+y
2
+z
2
≥(
a
2
+b
2
+c
2
ax+by+cz
)
2
⟹x
2
+y
2
+z
2
≥(
a
2
+b
2
+c
2
p
2
)
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