F.4 Maths
If (1-p)x^2-2(2-p)x+(1-p)=0 has no real roots,find the range of values of p
回答 (2)
∵no real roots
∴△<0
△ = [2(2-p)]2-4(1-p)(1-p)<0
(4-2p)2-(2-2p)2<0
(4-2p+2-2p)(4-2p-2+2p)<0
(6-4p)(2)<0
6-4p<0
6<4p
1.5<p
P>1.5
收錄日期: 2021-04-13 14:49:45
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