根式問題,,,,,,...........

2007-08-04 11:36 pm
√49=7
49的開方根=+7/-7
對嗎

回答 (4)

2007-08-06 11:05 pm
✔ 最佳答案
Although
7^2 = 49 and (-7)^2 = 49

√49=7 only.

This is because the symbol "√ " means "positive square root"

How about -7?
-7 = -√49

Furthermore, in solving equations with radical signs,
we have to reject the answer √x = n. where n is any negative number.
Because a positive square root is never a negative number.
eg:

x - √x - 12 = 0
(√x - 4)(√x + 3) = 0
√x = 4 or √x = -3 (rejected)
x = 16 only.

2007-08-06 17:22:31 補充:
Plus, eg.x^2 = 49x = √49 or x = -√49 ------ This step, so we can generate:x = 7  or x = -7But not :x = √49x = 7 (or x = -7 ----- This part can't be generated by √49)
2007-08-15 4:33 pm
ya you are right
2007-08-04 11:46 pm
Right!Right!
2007-08-04 11:39 pm


因為負負得正,正正都得正
參考: me


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