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# x2 – 2x = 0

Author Message
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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1652 [0], given: 396

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

Question Stats:

80% (00:10) correct 19% (00:44) wrong based on 26 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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Sandy
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Director
Joined: 20 Apr 2016
Posts: 756
Followers: 6

Kudos [?]: 511 [1] , given: 94

Re: x2 – 2x = 0 [#permalink]  29 Jun 2018, 05:02
1
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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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1652 [0], given: 396

Re: x2 – 2x = 0 [#permalink]  16 Jul 2018, 18:57
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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Re: x2 – 2x = 0   [#permalink] 16 Jul 2018, 18:57
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