a-maths
2007-12-18 5:44 am
The straight line y=2p+1 intersects the curve y=x+ p²/x at two distinct points.Find the range of values of p.
回答 (2)
2007-12-18 6:32 am
✔ 最佳答案
As follows: 圖片參考：http://i238.photobucket.com/albums/ff245/chocolate328154/Maths048.jpg?t=1197901918
2007-12-18 13:38:45 補充：
下面的嚴禁抄襲!!!
參考: My Maths Knowledge
2007-12-18 7:10 am
y=2p+1
y=x+ p²/x
∴2p+1=x+ p²/x
2px+x=x²+p²
x²-(2p+1)+p²=0
Δ=[-(2p+1)]^2-4(1)(p²)＞0
4p²+4p+1-4p²＞0
4p+1＞0
p＞-1/4
2007-12-19 13:05:22 補充：
......我點抄你啊,上面你上載係圖我淨係打字啊......無奈
y=x+ p²/x
∴2p+1=x+ p²/x
2px+x=x²+p²
x²-(2p+1)+p²=0
Δ=[-(2p+1)]^2-4(1)(p²)＞0
4p²+4p+1-4p²＞0
4p+1＞0
p＞-1/4
2007-12-19 13:05:22 補充：
......我點抄你啊,上面你上載係圖我淨係打字啊......無奈
參考: me
收錄日期: 2021-04-23 20:39:49
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