根号3括号x减根号3=根号2括号x加根号2怎么算

2025-03-18 20:22:01
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回答1:

根号3括号x减根号3=根号2括号x加根号2怎么算?
解:原题为
√3(x−√3)=√2(x+√2),经整理,得
(√3−√2)
x
=5
x=5/(√3−√2)=5(√3+√2)/(√3−√2)
(√3+√2)
=5(√3+√2),
将x=5(√3+√2)代入左边,
√3(x−√3)=√3
[5(√3+√2)−√3]
=5√6+12
将x=5(√3+√2)代入左边,
√2(x+√2)
=√2
[5(√3+√2)
+√2]
=5√6+12
∴x=5(√3+√2)