Task/26451506
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214.а)
(5x+4) / (x-2) -(4x+1) / (x+3) =1 ; ОДЗ : x ≠ -3 ; x≠2.
( (5x+4)(x+3) -(4x+1)(x-2) ) / (x -2)(x+3) =1 ;
(5x² +15x +4x +12 -4x² +8x -x +2) / (x -2)(x+3) =1 ;
(x² +26x +14 ) / (x -2)(x+3) =1 ;
x² +26x +14 =(x -2)(x+3) ;
x² +26x +14 = x² +3x -2x -6 ;
x² +26x +14 = x² +x -6 ;
25x = - 20 ;
x = - 4/5 .
ответ: - 4/5 . * * * - 0,8 * * *
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214.б)
(6x -1) / (3x+1) - (x-2) / (x-3) =1 ; ОДЗ : x ≠ -1/3 ; x≠2 .
(6x -1)(x-3) -(x-2)(3x+1) =(3x+1)(x-3) ;
6x² -18x -x +3 - 3x² -x +6x+2 =3x² - 9x +x - 3 ;
-14x +5 = - 8x -3 ;
-14x +8x = -3 - 5 ;
- 6x = - 8 ;
x = 4 / 3.
ответ: 4/3 . * * *1 1/3 * * *