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x2 – 2x = 0

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Retired Moderator
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Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 2934 [0], given: 394

x2 – 2x = 0 [#permalink] New post 23 Jun 2018, 12:10
Expert's post
00:00

Question Stats:

67% (00:12) correct 32% (00:25) wrong based on 67 sessions
\(x^2 - 2x = 0\)

Quantity A
Quantity B
\(x\)
\(2\)


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Joined: 20 Apr 2016
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WE: Engineering (Energy and Utilities)
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Re: x2 – 2x = 0 [#permalink] New post 29 Jun 2018, 05:02
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sandy wrote:
\(x^2 - 2x = 0\)

Quantity A
Quantity B
\(x\)
\(2\)


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


Here \(x^2 - 2x = 0\)

or x (x - 2) = 0

either x = 0 or x-2 =0 or x = 2

If x = 0 then Statement 1 < Statement 2

If x= 2 then Statement 1 = Statement 2

Hence option D
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1 KUDOS received
Retired Moderator
User avatar
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 171

Kudos [?]: 2934 [1] , given: 394

Re: x2 – 2x = 0 [#permalink] New post 16 Jul 2018, 18:57
1
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Expert's post
Explanation

Factorize \(x^2 - 2x = 0\):
\(x^2 - 2x = 0\)
\(x(x - 2) = 0\)

\(x = 0\) OR \((x - 2) = 0\)
x = 0 or 2.

Thus, Quantity A could be less than or equal to Quantity B. The relationship cannot be determined from the information given.

(Note that you cannot simply divide both sides of the original equation by x. It is illegal to divide by a variable unless it is certain that the variable does not equal zero.)
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Re: x2 – 2x = 0   [#permalink] 16 Jul 2018, 18:57
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