问题 解答题
确定方程3
x2-9
+4
x2-16
+5
x2-25
=
120
x
的解集______.
答案

由题意,

x2-9≥0
x2-16≥0
x2-25≥0
x>0
,∴x≥5

x2-9
≥4,
x2-16
≥3,
x2-25
≥0,

3

x2-9
+4
x2-16
+5
x2-25
≥24

3

x2-9
+4
x2-16
+5
x2-25
=
120
x

120
x
≥24

∵x≥5,∴

120
x
≤24

120
x
=24

∴x=5

故答案为:{5}

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