Question

1 44. Решите уравнения,а) |x - 1,5| = 0,32b) |x - 1,45| = 0,7c) x+ 3,9 = 8d) |x+ 1,43| = 1,29​

Answer 1

Пошаговое объяснение:

а) х1=1,82 ,х2=1,18

b)x1=2,15 ,x2=0,75

c) x=4,1

d)x=-0,14 , x2 =-2,72

Answer 2

a) |x - 1.5| = 0.32

To solve this equation, we can split it into two cases:

Case 1: (x - 1.5) = 0.32 x - 1.5 = 0.32 x = 0.32 + 1.5 x = 1.82

Case 2: -(x - 1.5) = 0.32 -x + 1.5 = 0.32 -x = 0.32 - 1.5 -x = -1.18 x = 1.18

Therefore, the solutions to the equation |x - 1.5| = 0.32 are x = 1.82 and x = 1.18.

b) |x - 1.45| = 0.7

Similar to the previous equation, we'll split it into two cases:

Case 1: (x - 1.45) = 0.7 x - 1.45 = 0.7 x = 0.7 + 1.45 x = 2.15

Case 2: -(x - 1.45) = 0.7 -x + 1.45 = 0.7 -x = 0.7 - 1.45 -x = -0.75 x = 0.75

Therefore, the solutions to the equation |x - 1.45| = 0.7 are x = 2.15 and x = 0.75.

c) x + 3.9 = 8

To solve this equation, we isolate x:

x = 8 - 3.9 x = 4.1

Therefore, the solution to the equation x + 3.9 = 8 is x = 4.1.

d) |x + 1.43| = 1.29

Again, we'll split this equation into two cases:

Case 1: (x + 1.43) = 1.29 x + 1.43 = 1.29 x = 1.29 - 1.43 x = -0.14

Case 2: -(x + 1.43) = 1.29 -x - 1.43 = 1.29 -x = 1.29 + 1.43 -x = 2.72 x = -2.72

Therefore, the solutions to the equation |x + 1.43| = 1.29 are x = -0.14 and x = -2.72.