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Selena20001205
@Selena20001205
July 2022
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Решите уравнение x|x|-4x+3=0
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s0807
x|x|-4x+3=0
1) х
0
x^2-4x+3=0
D=16-3*4=4=2^2
x=6/2=3 x=2/2=1
2)x<0
x(-x)-4x+3=0
-x^2-4x+3=0
x^2+4x-3=0
D=16+12=
√28=
√7*4=2√7
x=(-4-
2√7)/2=-2-
√7
x=(-4+2
√7)/2=+2+
√7 не подходит так как
x<0
Ответ 1;3;-2-√7
3 votes
Thanks 1
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Answers & Comments
1) х0
x^2-4x+3=0
D=16-3*4=4=2^2
x=6/2=3 x=2/2=1
2)x<0
x(-x)-4x+3=0
-x^2-4x+3=0
x^2+4x-3=0
D=16+12=√28=√7*4=2√7
x=(-4-2√7)/2=-2-√7
x=(-4+2√7)/2=+2+√7 не подходит так как x<0
Ответ 1;3;-2-√7