4. Tentukan himpunan penyelesaian dari persamaan berikut! a. |2x – 10| = |3x| b. 14x + 2| = |x-1| Jawab:

4. Tentukan himpunan penyelesaian dari persamaan berikut! a. |2x – 10| = |3x| b. 14x + 2| = |x-1|

Jawab:

a. x1 = -10, x2 = 2

b.x1 = -3/13, x2 = -1/15

Penjelasan dengan langkah-langkah:

a.

2x-10 = 3x

-x= 10

x= -10

 

-(2x-10) = 3x

-2x+10 = 3x

-5x = -10

x = -10/-5

x = 2

 

x1 = -10, x2 = 2

 

b.

14x+2 = x-1

13x = -3

x = -3/13

 

-(14x+2) = x-1

-14x -2 = x-1

-15x = 1

x = -1/15

 

x1 = -3/13, x2 = -1/15

 

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