國二數學。請問: 若 √2(x-2)=√3(x-3),則x=?

2017-11-26 2:25 pm

回答 (3)

2017-11-26 2:34 pm
✔ 最佳答案
Sol
1
√2(x-2)=√3(x-3)
x√2-2√2=x√3-3√3
3√3-2√2=x√3-x√2
x(√3-√2)=3√3-2√2
x=(3√3-2√2)/(√3-√2)
=(3√3-2√2)*(√3+√2)
=9+3√6-2√6-4
=5+√3
2
√[2(x-2)]=√[3(x-3)[
2(x-2)=3(x-3)
2x-4=3x-9
x=5
2017-11-27 3:06 pm
數學好累
2017-11-26 2:32 pm
sqrt(2(x-2))=sqrt(3(x-3))
2(x-2)=3(x-3)
2x-4=3x-9
5=x
x=5


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