pengerjaan |4-3x|=|-4| nilai mutlak
Answers
Hey !!
Mod is called modular and that cannot be negative, it shall be positive , but if there is an equation in a mod, we take both the negative and positive.
I 4x - 3 I = I -4 I
- ( 4x - 3 ) = 4
+ ( 4x - 3 ) = 4
- 4x + 3 = 4
- 4x = 1
x = ( -1 / 4 )
4x + 3 = 4
4x - 3 = 4
4x = 7
x = ( 7 / 4 )
x = ( -1 / 4 ) and ( 7 / 4 )
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|4 - 3x| = |-4|
.
Given that |-4| = 4 :
|4 - 3x| = 4
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Remove the mod bracket on the left:
4 - 3x = ±4
.
Take away 4 from both sides:
-3x = 4 - 4 or -3x = -4 - 4
.
Evaluate RHS:
-3x = 0 or -3x = -8
.
Divide both sides by 3:
x = 0 or x = 8/3
Answer: x = 0 or x = 8/3
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