Tentukan himpunan dari |5x+1| = |2x-2| Terimakasih.. Mohon bantu yaa

| 5x + 1 | = |2x - 2|
Jawab :
=> f(x) = g(x)
|5x + 1| = |2x - 2|
5x -2x = -2 - 1
3x = - 3
x = -1
=> f(x) = -g (x)
|5x + 1| = - |2x - 2|
5x + 1 = -2x + 2
5x +2x = 2- 1
7x = 1
× = 1 / 7

Hp = { -1, 1/7 }

|5X+1| = |2X-2|
(5X+1)² = (2X-2)²
(5X+1)(5X+1) = (2X-2)(2X-2)
25X²+5X+5X+1 = 4X²-4X-4X+4
25X²+10X+1 = 4X²-8X+4
25X²-4X²+10X+8X+1-4 = 0
21X²+18X-3 =0
(7X-1)(3X+3)
X=1/7 ATAU X=-3/3

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