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July 2022
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решите уравнение
а)(2x-1)^2=2x-1
b) 4(x-3)^2= (2x+6)^2
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NadDer
А)(2x-1)^2=2x-1
4х²-4х+1-2х+1 = 0
4х²-6х+2 = 0
D = 36-32 = 4 (2)
х1 = (6-2):8 =
1/2
х2 = (6=2):8 =
1
b) 4(x-3)^2= (2x+6)^2
4х
²-24х+36-4х²-24х-36 = 0
-48х = 0
х =
0
0 votes
Thanks 0
PrЯnicheg
А) (2х-1)²=2х-1
4х²-4х+1=2х-1
4х²-4х-2х+1+1=0
4х²-6х+2=0 / :2
2х²-3х+1=0
D=9-4*2=9-8=1
х₁=(3+1):4 х₂=(3-1):4
х₁=1 х₂=0.5
Ответ 1; 0.5
b) 4(х-3)²=(2х+6)²
4(х²-6х+9)=4х²+24х+36
4х²-24х+36=
4х²+24х+36
4х
²-4х²-24х-24х=36-36
-48х=0
х=0:48
х=0
Ответ: 0
0 votes
Thanks 0
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Answers & Comments
4х²-4х+1-2х+1 = 0
4х²-6х+2 = 0
D = 36-32 = 4 (2)
х1 = (6-2):8 = 1/2
х2 = (6=2):8 = 1
b) 4(x-3)^2= (2x+6)^2
4х²-24х+36-4х²-24х-36 = 0
-48х = 0
х = 0
4х²-4х+1=2х-1
4х²-4х-2х+1+1=0
4х²-6х+2=0 / :2
2х²-3х+1=0
D=9-4*2=9-8=1
х₁=(3+1):4 х₂=(3-1):4
х₁=1 х₂=0.5
Ответ 1; 0.5
b) 4(х-3)²=(2х+6)²
4(х²-6х+9)=4х²+24х+36
4х²-24х+36=4х²+24х+36
4х²-4х²-24х-24х=36-36
-48х=0
х=0:48
х=0
Ответ: 0