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What is the value of x? 1) (-x)^3 = -x^3 2)

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Manager
Joined: 28 Feb 2003
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What is the value of x? 1) (-x)^3 = -x^3 2) [#permalink]

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22 May 2003, 23:48
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What is the value of x?

1) $$(-x)^3 = -x^3$$
2) $$(-x)^2 = -x^2$$

open to debate.....

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SVP
Joined: 03 Feb 2003
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23 May 2003, 00:33
what does (...) mean? Simple parentheses?

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Manager
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23 May 2003, 00:53
stolyar wrote:
Aha... I see a trick. B?

perfect

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Intern
Joined: 07 May 2003
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Location: Dallas

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23 May 2003, 09:25
plz explain how it is B.........

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Manager
Joined: 28 Feb 2003
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23 May 2003, 18:10
from statement 1,

if x = 0 both sides are equal
if x = 1 both sides are again equal {(-1)^3 = -1 & -1^3 = 1}

therefore x =0 or x = 1

from statement 2

x can only be zero because the square of a number other than zero cannot be negative. {(-1)^2 = 1 which is not equal to -(1)^2)}

therefore statement 2 is sufficient to say that x = 0

hope that helps

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Founder
Joined: 04 Dec 2002
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Location: United States (WA)
GMAT 1: 750 Q49 V42

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23 May 2003, 18:14
brstorewala wrote:
from statement 1,

if x = 0 both sides are equal
if x = 1 both sides are again equal {(-1)^3 = -1 & -1^3 = 1}

therefore x =0 or x = 1

from statement 2

x can only be zero because the square of a number other than zero cannot be negative. {(-1)^2 = 1 which is not equal to -(1)^2)}

therefore statement 2 is sufficient to say that x = 0

hope that helps

I agree about -(1)^2, but where did you get it?
we have only -x^2 and (-x)^2; is it the -x^2 ?

-=

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Manager
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23 May 2003, 18:28
yes it is -x^2

negative sign is not included in the power.

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23 May 2003, 18:28
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What is the value of x? 1) (-x)^3 = -x^3 2)

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