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RosalieWhite
@RosalieWhite
August 2022
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При каких значениях параметра p уравнение
X^2-2(p-1)x+4p^2=o
Имеет не более одного корня?
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m11m
X²-2(p-1)x+4p²=0
D=(-2(p-1))²-4*4p²=0
4(p-1)²-16p²=0
4((p-1)²-4p²)=0
(p-1)²-(2p)²=0
(p-1+2p)(p-1-2p)=0
(3p-1)(-p-1)=0
3p-1=0 -p-1=0
3p=1 -p=1
p=1/3 p=-1
Ответ: -1; 1/3.
2 votes
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Answers & Comments
D=(-2(p-1))²-4*4p²=0
4(p-1)²-16p²=0
4((p-1)²-4p²)=0
(p-1)²-(2p)²=0
(p-1+2p)(p-1-2p)=0
(3p-1)(-p-1)=0
3p-1=0 -p-1=0
3p=1 -p=1
p=1/3 p=-1
Ответ: -1; 1/3.