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04 Nov 2010, 15:59
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E
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If x is a positive number, what is the value of x ?
(1) |x – 2| = 1
(2) x^2 = 4x -3
DS20559
(1) |x – 2| = 1
(2) x^2 = 4x -3
DS20559
04 Nov 2010, 18:43
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tatane90
If x is a positive number, what is the value of x ?
(1) | x – 2 | = 1
(2) x^2 = 4x -3
(1) | x – 2 | = 1
(2) x^2 = 4x -3
Given: \(x>0\). Question: \(x=?\)
(1) \(|x-2|=1\) --> if \(0<x<2\) then \(|x-2|=-(x-2)=1\) and \(x=1\) BUT if \(x\geq{2}\) then \(|x-2|=x-2=1\) and \(x=3\). Two different answers, hence not sufficient.
(2) \(x^2=4x-3\) --> \((x-3)(x-1)=0\) --> \(x=1\) or \(x=3\). Not sufficient.
(1)+(2) \(x\) still can be either 3 or 1. Not sufficient.
Answer: E.
25 May 2013, 00:54
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Bunuel
tatane90
If x is a positive number, what is the value of x ?
(1) | x – 2 | = 1
(2) x^2 = 4x -3
(1) | x – 2 | = 1
(2) x^2 = 4x -3
Given: \(x>0\). Question: \(x=?\)
(1) \(|x-2|=1\) --> if \(0<x<2\) then \(|x-2|=-(x-2)=1\) and \(x=1\) BUT if \(x\geq{2}\) then \(|x-2|=x-2=1\) and \(x=3\). Two different answers, hence not sufficient.
(2) \(x^2=4x-3\) --> \((x-3)(x-1)=0\) --> \(x=1\) or \(x=3\). Not sufficient.
(1)+(2) \(x\) still can be either 3 or 1. Not sufficient.
Answer: E.
I am not satisfied with your solution, Why X can not have two values both 3 and 1 . In that case both the statements are individually sufficient .
