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If \(|x + 2| = |x|\), how many values of \(x\) satisfy this equation?
A. 0
B. 1
C. 2
D. 3
E. 4
A. 0
B. 1
C. 2
D. 3
E. 4
22 Apr 2024, 08:45
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Official Solution:
If \(|x + 2| = |x|\), how many values of \(x\) satisfy this equation?
A. 0
B. 1
C. 2
D. 3
E. 4
Square to get rid of the absolute value (note here that we can safely do that since both sides of the equation are non-negative):
\(x^2+4x+4=x^2\);
\(x=-1\).
Therefore, only one value of \(x\) satisfies the given equation.
Answer: B
If \(|x + 2| = |x|\), how many values of \(x\) satisfy this equation?
A. 0
B. 1
C. 2
D. 3
E. 4
Square to get rid of the absolute value (note here that we can safely do that since both sides of the equation are non-negative):
\(x^2+4x+4=x^2\);
\(x=-1\).
Therefore, only one value of \(x\) satisfies the given equation.
Answer: B
14 Mar 2025, 09:35
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Zero also satisfies this equation , so the answer should be 2. Option C. Right ?
Bunuel
