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# x^2+y^2 = 0

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Intern
Joined: 18 Oct 2017
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x^2+y^2 = 0 [#permalink]  18 Oct 2017, 21:24
00:00

Question Stats:

60% (00:13) correct 40% (00:10) wrong based on 5 sessions
$$x^2 + y^2 = 0$$

 Quantity A Quantity B x 0

(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

Last edited by IlCreatore on 19 Oct 2017, 00:12, edited 4 times in total.
Renamed the topic and edited the question.
Senior Manager
Joined: 20 May 2014
Posts: 282
Followers: 18

Kudos [?]: 50 [0], given: 220

Re: Squares [#permalink]  18 Oct 2017, 22:42
san wrote:
x^2+y^2 = 0
Qty A: x Qty B:0

Senior Manager
Joined: 20 May 2014
Posts: 282
Followers: 18

Kudos [?]: 50 [1] , given: 220

Re: x^2+y^2 = 0 [#permalink]  18 Oct 2017, 22:45
1
KUDOS
san wrote:
x^2 + y^2 = 0

 Quantity A Quantity B x 0

(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.

The square of a number is always non-negative, so 0 or positive.

So, we have that the sum of two non-negative values is 0, which is only possible if both numbers are 0.

x^2 = y^2 = 0;
x = y = 0.

Re: x^2+y^2 = 0   [#permalink] 18 Oct 2017, 22:45
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