Задание 2. Найдите корень уравнения. 1) 10(x−9)=7; 2) 10(x+2)=-7; 3) 5(x-6)=2; 4) 5(x+2)=-7; 5) 5(x+9)=-8; 6) 4(x-2)=-1; 7) 4(x-8)=-5; 8) 4(x-6)=5; 9) 4(x+1)=9; 10) 4(x+10)=−1.

Решение:

Задание 2. Найдите корень уравнения.

1. \( 10(x-9) = 7 \)
   \( 10x - 90 = 7 \)
   \( 10x = 97 \)
   \( x = 9.7 \)
2. \( 10(x+2) = -7 \)
   \( 10x + 20 = -7 \)
   \( 10x = -27 \)
   \( x = -2.7 \)
3. \( 5(x-6) = 2 \)
   \( 5x - 30 = 2 \)
   \( 5x = 32 \)
   \( x = 6.4 \)
4. \( 5(x+2) = -7 \)
   \( 5x + 10 = -7 \)
   \( 5x = -17 \)
   \( x = -3.4 \)
5. \( 5(x+9) = -8 \)
   \( 5x + 45 = -8 \)
   \( 5x = -53 \)
   \( x = -10.6 \)
6. \( 4(x-2) = -1 \)
   \( 4x - 8 = -1 \)
   \( 4x = 7 \)
   \( x = 1.75 \)
7. \( 4(x-8) = -5 \)
   \( 4x - 32 = -5 \)
   \( 4x = 27 \)
   \( x = 6.75 \)
8. \( 4(x-6) = 5 \)
   \( 4x - 24 = 5 \)
   \( 4x = 29 \)
   \( x = 7.25 \)
9. \( 4(x+1) = 9 \)
   \( 4x + 4 = 9 \)
   \( 4x = 5 \)
   \( x = 1.25 \)
10. \( 4(x+10) = -1 \)
    \( 4x + 40 = -1 \)
    \( 4x = -41 \)
    \( x = -10.25 \)

Ответ: 1) x = 9.7; 2) x = -2.7; 3) x = 6.4; 4) x = -3.4; 5) x = -10.6; 6) x = 1.75; 7) x = 6.75; 8) x = 7.25; 9) x = 1.25; 10) x = -10.25.