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根式的平方 運算
Aug 19th 2013, 09:30
http://math1.ck.tp.edu.tw/%E6%9E%97%E4%BF%A1%E5%AE%89/%E5%AD%B8%E8%A1%93%E7%A0%94%E7%A9%B6/%E8%B3%87%E5%84%AA%E7%8F%AD%E8%AA%B2%E7%A8%8B%E8%AC%9B%E7%BE%A9/%E7%AC%AC4%E5%96%AE%E5%85%83%E8%A4%87%E6%95%B8.pdf 如以上連結的練習二 答案我我算出來為-3 不知道答案是否有誤? 題目為以下 (練習2) 若x,y為實數,且x+y=−7,xy=4,求(√x+√y )^2=? Ans:−11 我先將(√x+√y )^2 展開 =x +2√(xy)+ y = -7+2√(xy) = -7+2*2 =-3 會不會是答案出錯 (練習2) 若x,y為實數,且x+y=−7,xy=4,求(√x-√y )^2=? Ans:−11 若將題目改成 (√x-√y )^2 =x -2√(xy)+ y = -7-2√(xy) = -7-2*2 =-11 則算出來是-11
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