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skyler1muir
17.06.2021 •
Mathematics
The equation |x-3| = 4 has what solutions?
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Ответ:
x-3=4
x=4+3
X=7
or
x-3=-4
x=-4+3
x=-1
Ответ:
-1 and 7
Step-by-step explanation:
Any equation within the | | notation is an absolute value, where the the value of the equation can only be positive.
So within the notation, we have two possibilities to the solution, a positive and negative value.
In other words, |4| = 4 and |-4| = 4
Hence, we only need to substitute x with an appropriate integer to satisfy the answer.
|x - 3| = 4
substitute x = 7
|7 - 3| = 4
|4| = 4
substitute x = -1
|-1 - 3| = 4
|-4| = 4
Therefore the solutions to x is x = 7 and x = -1.
Ответ: