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

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Manager
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What is the value of x? 1) (-x)^3 = -x^3 2) [#permalink]  22 May 2003, 22:48
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75% (01:49) correct 25% (01:32) wrong based on 6 sessions
What is the value of x?

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

open to debate.....
SVP
Joined: 03 Feb 2003
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what does (...) mean? Simple parentheses?
Manager
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stolyar wrote:
Aha... I see a trick. B?

perfect

Intern
Joined: 07 May 2003
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plz explain how it is B.........
Manager
Joined: 28 Feb 2003
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Kudos [?]: 3 [0], given: 0

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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Expert's post
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 ?

-=
Manager
Joined: 28 Feb 2003
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yes it is -x^2

negative sign is not included in the power.
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