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womenман
@womenман
August 2022
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УРАВНЕНИЕ:
[tex](2x-7)^2=(2x-1)^2[/tex]
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oganesbagoyan
Verified answer
(2x -7)² =(2x -1)² ;
4x²
-28x +49 =
4x²
-4x +1 ;
49 -1 = -4x+28x ;
24x =48 ;
x =2
************или ***************
(2x -7)² =(2x -1)² ;
(2x -7)² -(2x -1)² =0 ;
(2x -7 -(2x -1) )(2x-7+2x -1) = 0 ;
-6(4x -8) =0 ;
-6 ≠0 ;
4x -8 =0 ⇒
x =2.
************ или **************
(2x -7)² =(2x -1)² ;
|2x-7| = |2x -1| ;
а)
2x -7 = -(2x -1) ;
4x=8 ;
x=2.
б)
2x -7 = 2x -1
2x -2x = -1+7 ;
0*x =6 нет решения
.
1 votes
Thanks 1
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Answers & Comments
Verified answer
(2x -7)² =(2x -1)² ;4x² -28x +49 = 4x² -4x +1 ;
49 -1 = -4x+28x ;
24x =48 ;
x =2
************или ***************
(2x -7)² =(2x -1)² ;
(2x -7)² -(2x -1)² =0 ;
(2x -7 -(2x -1) )(2x-7+2x -1) = 0 ;
-6(4x -8) =0 ;
-6 ≠0 ;
4x -8 =0 ⇒ x =2.
************ или **************
(2x -7)² =(2x -1)² ;
|2x-7| = |2x -1| ;
а) 2x -7 = -(2x -1) ;
4x=8 ;
x=2.
б) 2x -7 = 2x -1
2x -2x = -1+7 ;
0*x =6 нет решения .