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If x is not 0, for how many integers is |x|^x = x*x ?

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Joined: 16 Oct 2016
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If x is not 0, for how many integers is |x|^x = x*x ?  [#permalink]

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Updated on: 03 Feb 2019, 17:26
00:00

Difficulty:

55% (hard)

Question Stats:

42% (01:41) correct 58% (01:04) wrong based on 49 sessions

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If x is not 0, for how many integers is $$|x|^x = x*x$$?

A. 0

B. 1

C. 2

D. 3

E. >3

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Chasing the dragon

Originally posted by fitzpratik on 29 Jan 2019, 06:59.
Last edited by fitzpratik on 03 Feb 2019, 17:26, edited 1 time in total.
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Re: If x is not 0, for how many integers is |x|^x = x*x ?  [#permalink]

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Updated on: 02 Feb 2019, 22:01
fitzpratik wrote:
if x is not 0, for how many integers is $$|x|^x$$ = x*x?

A. 0

B. 1

C. 2

D. 3

E. >3

Hi fitzpratik, I believe there is some discrepancy in OA

x !=0, it can be both +ive and -ive integers but only till -1 , because if x < -1 it will flip |x|^x into a fraction.

x will be 3 integers -1, 1 and 2

Do share your thoughts on this.
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Quote which i can relate to.
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Originally posted by KanishkM on 29 Jan 2019, 07:15.
Last edited by KanishkM on 02 Feb 2019, 22:01, edited 2 times in total.
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Joined: 11 May 2018
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Re: If x is not 0, for how many integers is |x|^x = x*x ?  [#permalink]

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02 Feb 2019, 21:50
1
x is not equal to 0 ---> x can be positive or negative

|x|^x=x∗x

above equation satisfies for the value of 1, 2 and -1 but can not for -2.

total number of values of x = 3

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Re: If x is not 0, for how many integers is |x|^x = x*x ?  [#permalink]

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02 Feb 2019, 22:42
There are 3 solutions , please update the OA

$$1, -1 \, and \, 2$$
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Manager
Joined: 16 Oct 2016
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Location: India
Concentration: General Management, Healthcare
GMAT 1: 640 Q40 V38
GMAT 2: 680 Q48 V35
GPA: 3.05
WE: Pharmaceuticals (Health Care)
Re: If x is not 0, for how many integers is |x|^x = x*x ?  [#permalink]

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03 Feb 2019, 17:27

Posted from my mobile device
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Chasing the dragon

Re: If x is not 0, for how many integers is |x|^x = x*x ?   [#permalink] 03 Feb 2019, 17:27
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