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myrzilka [38]
3 years ago
7

How many solutions are there to the equation below? |x| = -31​

Mathematics
2 answers:
ratelena [41]3 years ago
6 0

Answer:

No solutions

Step-by-step explanation:

The absolute value always returns a positive value, thus cannot be equal to - 31

ella [17]3 years ago
5 0

Break down the problem into these two equations;

x = -31

-x = -31

Solve for the 1st equation; x = -31

x = -31

Solve for the 2nd equation; -x = -31

x = 31

Collect all solutions

x = ±31

Check the solution

When x = -31, the original equation; |x| = -31 does not hold true. Thus, we will drop x = -31 from the solution set.

Check the solution again;

When x = 31, the original equation |x| = -31 does not hold true as well. Thus we will drop x = 31 from the solution set.

Therefore,

<u>No solution exists to this equation. </u>

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