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Absolute Values

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Intern
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Joined: 12 Jun 2015
Posts: 7
Location: Canada
Concentration: General Management
GMAT Date: 09-08-2015
GPA: 3.55
WE: Account Management (Manufacturing)
Absolute Values  [#permalink]

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New post 20 Mar 2017, 07:18
hi Guys,

I wanted to know why in the attached screen shot the answer is x*2 = X*2

thanks
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Re: Absolute Values  [#permalink]

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New post 22 Mar 2017, 11:50
jamescarey86 wrote:
hi Guys,

I wanted to know why in the attached screen shot the answer is x*2 = X*2

thanks


\(\frac{x}{|y|} = -1\) is equivalent to \(x = -|y|\) or \(-x = |y|\).
It is also equivalent to \((-x)^2 = |y|^2 = y^2\), and so we have \(x^2 = y^2\).
Hence, D is the correct answer.

We have used a property as follows.
- \(|x| = a\) is equivalent to \(x^2 = a^2\).
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Re: Absolute Values &nbs [#permalink] 22 Mar 2017, 11:50
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Absolute Values

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