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GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1783 , given: 397

x2 – 2x = 0 [#permalink]
Expert's post 00:00

Question Stats: 80% (00:12) correct 20% (00:37) wrong based on 30 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

_________________

Sandy
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Try our free Online GRE Test Director Joined: 20 Apr 2016
Posts: 826
WE: Engineering (Energy and Utilities)
Followers: 11

Kudos [?]: 603  , given: 124

Re: x2 – 2x = 0 [#permalink]
2
KUDOS
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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Rules for Posting https://greprepclub.com/forum/rules-for ... -1083.html GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1783  , given: 397

Re: x2 – 2x = 0 [#permalink]
1
KUDOS
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.)
_________________

Sandy
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Try our free Online GRE Test Re: x2 – 2x = 0   [#permalink] 16 Jul 2018, 18:57
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