F.4數學問題(二次方程)
Determine the nature of roots of the following equation.
4x^2-kx-5=0
回答 (5)
✔ 最佳答案
4x²-kx-5=0
D=√(k²+80)
因為k²是一個正數
所以√(k²+80)恆為正
故4x²-kx-5=0有相異兩個實數解
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4 x² - k x - 5 = 0
Δ = (-k)² - 4(4)(-5) = k² + 80 > 0 if k is a real number
The roots are real and distinct.
2014-08-01 21:33:23 補充:
New Guy, replied your email already.
Some members told me that emails cannot be received these days, so if you do not receive my reply, maybe it is due to the system problem, or maybe I am busy to reply.
2014-08-01 23:05:41 補充:
呵呵~!!
有道理!!!
2014-08-02 21:57:59 補充:
因為一正一負也是可以推論出來的nature of roots,所以要作答此部份才算完整嘛!
收錄日期: 2021-04-17 23:59:20
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