Tentukan nilai x yang memenuhi persamaan: a. |3x + 4| = |2x - 1| b. |2x + 4 = x3 c. 2x+41-13-x = -1 d. x²-8x + 14 = 2 e. x² - 4x-2| = x-8 f. x² - 4x + 18 = x² + 2x + 6 g. |x-1|-2=2- |2x-1| h. x-412 = 4|x - 4 + 12
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Jawaban:
a. 3x + 4 = 2x - 1
3x - 2x = -1 - 4
x = -5
b. 2x + 4 = x³
c. 2x + 41 - 13 - x = -1
2x - x = -1 - 41 + 13
x = -29
d. x² - 8x + 14 = 2
x² - 8x + 12 = 0
(x - 6) ( x - 2) = 0
× = 6 / x = 2
e. x² - 4x -2 = x - 8
x² - 4x - x - 2 + 8 = 0
x² - 5x + 6 = 0
( x - 3 ) ( x - 2) = 0
x = 3 / x = 2
f. x² - 4x + 18 = x² + 2x + 6
x² - x² - 4x - 2x + 18 - 16 = 0
- 6x + 2 = 0
- 16x = -2
x = 2/16
x = 1/8
g. ( x - 1) - 2 = 2 - ( 2x - 1 )
-2x + 2 = 4x - 2
4x + 2x = 2 + 2
6x = 4
x = 4/6
x = 2/3
h. x-412 = 4|x - 4 + 12
