1) 4(x-1) = 2(2x-8) + 12
4x - 4 = 4x - 16 + 12
4х - 4x = -16 + 12 + 4
0 = 0
2) 7(4х - 1) = 6 - 2(3 - 14x)
28x - 7 = 6 - 6 + 28x
28x - 28x = 6 - 6 + 7
0 = 7; 0 не равен 7
Уравнение неверное
196-а²=<span>(14-а)(а+14)
Ответ:а</span>
5/(2x-1)(x+2) = a/(2x-1) + b/(x+2)
a/(2x-1) + b/(x+2)=(a(x+2)+b(2x-1))/(2x-1)(x+2)
ax+2a+2bx-b=0*x+5
(a+2b)x+(2a-b)=0*x+5
приравниваем иксы и константы
a+2b=0
2a-b=5
a=2
b=-1
Задание дай цифры или пиимеры
Задание: Решить уравнение.
![\frac {x-2}{6} + \frac{x}{2} = \frac{5x-2}{9}](https://tex.z-dn.net/?f=+%5Cfrac+%7Bx-2%7D%7B6%7D++%2B++%5Cfrac%7Bx%7D%7B2%7D+%3D++%5Cfrac%7B5x-2%7D%7B9%7D)
(умножим на 18, чтобы избавиться от дробей)
![\frac {18*(x-2)}{6} + \frac{18*x}{2} = \frac{18*(5x-2)}{9}](https://tex.z-dn.net/?f=+%5Cfrac+%7B18%2A%28x-2%29%7D%7B6%7D++%2B++%5Cfrac%7B18%2Ax%7D%7B2%7D+%3D++%5Cfrac%7B18%2A%285x-2%29%7D%7B9%7D)
3*(х-2) + 9х=2(5х-2)
3х-6+9х=10х-4
12х-10х=-4+6
2х=2
х=2:2
х=1
ОТВЕТ: х=12)
![\frac{5+2x}{3} = \frac{x-3}{5} + \frac{x+5}{2}](https://tex.z-dn.net/?f=+%5Cfrac%7B5%2B2x%7D%7B3%7D+%3D++%5Cfrac%7Bx-3%7D%7B5%7D+%2B++%5Cfrac%7Bx%2B5%7D%7B2%7D+)
(умножим на 30)
![\frac{30*(5+2x)}{3} = \frac{30*(x-3)}{5} + \frac{30*(x+5)}{2}](https://tex.z-dn.net/?f=+%5Cfrac%7B30%2A%285%2B2x%29%7D%7B3%7D+%3D++%5Cfrac%7B30%2A%28x-3%29%7D%7B5%7D+%2B++%5Cfrac%7B30%2A%28x%2B5%29%7D%7B2%7D+)
10*(5+2х)=6*(х-3) +15(х+5)
50+20х=6х-18+15х+75
20х-6х-15х=75-18-50
-х=7
х= - 7
ОТВЕТ: х= -7
3)
![\frac{3*(x+1)}{8} + \frac{2*(5-x)}{3} = \frac{16-13x}{12}](https://tex.z-dn.net/?f=+%5Cfrac%7B3%2A%28x%2B1%29%7D%7B8%7D+%2B++%5Cfrac%7B2%2A%285-x%29%7D%7B3%7D++%3D++%5Cfrac%7B16-13x%7D%7B12%7D+)
(умножим на 24)
![\frac{24*3*(x+1)}{8} + \frac{24*2*(5-x)}{3} = \frac{24*(16-13x)}{12}](https://tex.z-dn.net/?f=+%5Cfrac%7B24%2A3%2A%28x%2B1%29%7D%7B8%7D+%2B++%5Cfrac%7B24%2A2%2A%285-x%29%7D%7B3%7D++%3D++%5Cfrac%7B24%2A%2816-13x%29%7D%7B12%7D+)
9(х+1) + 16(5-х) = 2*(16-13х)
9х+9+80-16х=32-26х
-7х+89=32-26х
-7х+26х=32-89
19х=-57
х=(-57):19
х=-3
ОТВЕТ: х=-3
4)
![\frac{5*(7-2x)}{3} - \frac{4x-2}{9} = \frac{x-19}{2}](https://tex.z-dn.net/?f=+%5Cfrac%7B5%2A%287-2x%29%7D%7B3%7D+-++%5Cfrac%7B4x-2%7D%7B9%7D+%3D++%5Cfrac%7Bx-19%7D%7B2%7D+++)
(умножим на 18)
![\frac{18*5*(7-2x)}{3} - \frac{18*(4x-2)}{9} = \frac{18*(x-19)}{2}](https://tex.z-dn.net/?f=+%5Cfrac%7B18%2A5%2A%287-2x%29%7D%7B3%7D+-++%5Cfrac%7B18%2A%284x-2%29%7D%7B9%7D+%3D++%5Cfrac%7B18%2A%28x-19%29%7D%7B2%7D+++)
30*(7-2х) - 2*(4х-2) = 9*(х-19)
210-60х-8х+4=9х-171
-68х-9х=-171-214
-77х=-385
77х=385
х=385:77
х=5
ОТВЕТ: х=5