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If |2x – 4| is equal to 2 and (x – 3)2 is equal to 4, then w
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07 Apr 2019, 06:22
07 Apr 2019, 06:22
Expert Reply
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Question Stats:
78% (00:37) correct
21% (01:20) wrong based on 19 sessions
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If \(|2x – 4|\) is equal to 2 and \((x – 3)^2\) is equal to 4, then what is the value of x?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Re: If |2x – 4| is equal to 2 and (x – 3)2 is equal to 4, then w
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20 Apr 2020, 15:26
20 Apr 2020, 15:26
Expert Reply
Here (x-3)^2=4
Therefore x-3= 2 or X-3=-2
So X=5 or X=1
Now we have |2x-4|=2
Substitute both the X values above and check which gives us the answer
For X=5, we get |2x-4|=10-4=6 wrong
For X=1, we get |2-4|=2 correct
So answer is X=1
Therefore x-3= 2 or X-3=-2
So X=5 or X=1
Now we have |2x-4|=2
Substitute both the X values above and check which gives us the answer
For X=5, we get |2x-4|=10-4=6 wrong
For X=1, we get |2-4|=2 correct
So answer is X=1
gmatclubot
Re: If |2x – 4| is equal to 2 and (x – 3)2 is equal to 4, then w [#permalink]
20 Apr 2020, 15:26
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