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M13-02
[#permalink]
16 Sep 2014, 00:48
16 Sep 2014, 00:48
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A
B
C
D
E
Difficulty:
45%
(medium)
Question Stats:
59% (01:27) correct
41%
(01:16)
wrong
based on 152
sessions
How many roots does the equation \(|| x +2 | - 2 | = 2\) have?
A. 0
B. 1
C. 2
D. 3
E. 4
A. 0
B. 1
C. 2
D. 3
E. 4
Re M13-02
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16 Sep 2014, 00:48
16 Sep 2014, 00:48
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5
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Expert Reply
Official Solution:
How many roots does the equation \(|| x +2 | - 2 | = 2\) have?
A. 0
B. 1
C. 2
D. 3
E. 4
Given: \(||x +2|-2|=2\). Two cases are possible:
1. \(|x +2|=0\). In this case \(x=-2\);
2. \(|x +2|=4\). In this case \(x=2\) or \(x=-6\).
So, the given equation has three roots: -2, 2, and -6.
Answer: D
How many roots does the equation \(|| x +2 | - 2 | = 2\) have?
A. 0
B. 1
C. 2
D. 3
E. 4
Given: \(||x +2|-2|=2\). Two cases are possible:
1. \(|x +2|=0\). In this case \(x=-2\);
2. \(|x +2|=4\). In this case \(x=2\) or \(x=-6\).
So, the given equation has three roots: -2, 2, and -6.
Answer: D
General Discussion
Re: M13-02
[#permalink]
16 Nov 2014, 07:12
16 Nov 2014, 07:12
Hi,
Can you please explain how we get -6 as one of the root in the second case .
Can you please explain how we get -6 as one of the root in the second case .
