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# Old good absolute values

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SVP
Joined: 03 Feb 2003
Posts: 1603

Kudos [?]: 303 [0], given: 0

Old good absolute values [#permalink]

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10 Jun 2004, 04:50
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Old good absolute values...
solve the equation

|x-1|=|x^2 - 1|

Kudos [?]: 303 [0], given: 0

Manager
Joined: 07 May 2004
Posts: 183

Kudos [?]: 18 [0], given: 0

Location: Ukraine, Russia(part-time)
Re: Old good absolute values [#permalink]

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10 Jun 2004, 04:54
stolyar wrote:
Old good absolute values...
solve the equation

|x-1|=|x^2 - 1|

|x-1|=|x-1|*|x+1| =>

1) x = 1

2) |x+1| = 1 => x = 0, -2.

0, -1 and 2 = answers.

Kudos [?]: 18 [0], given: 0

Manager
Joined: 07 May 2004
Posts: 183

Kudos [?]: 18 [0], given: 0

Location: Ukraine, Russia(part-time)

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10 Jun 2004, 05:04
stolyar wrote:
wrong

Why? Both 0, -2 and 1 satisfy this equation (simply put 0, 1, and -2) into it and see. Are there any other answers?

Kudos [?]: 18 [0], given: 0

SVP
Joined: 03 Feb 2003
Posts: 1603

Kudos [?]: 303 [0], given: 0

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10 Jun 2004, 05:07
U wrote: 0, -1 and 2 = answers.
Incorrect

the correct set is [-2, 1, and 0]

Kudos [?]: 303 [0], given: 0

Manager
Joined: 07 May 2004
Posts: 183

Kudos [?]: 18 [0], given: 0

Location: Ukraine, Russia(part-time)

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10 Jun 2004, 05:11
stolyar wrote:
U wrote: 0, -1 and 2 = answers.
Incorrect

the correct set is [-2, 1, and 0]

Yes, I changed signs before -2 and 1

But I think, that this misprint is really clear when compared to the solution...

Kudos [?]: 18 [0], given: 0

Manager
Joined: 07 May 2004
Posts: 183

Kudos [?]: 18 [0], given: 0

Location: Ukraine, Russia(part-time)

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10 Jun 2004, 05:11
ob wrote:
x = 0, x = 1.

No, -2 is a solution too.

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Senior Manager
Joined: 25 May 2004
Posts: 281

Kudos [?]: 20 [0], given: 0

Location: Ukraine

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10 Jun 2004, 05:13
Oops, missed one more value!

Kudos [?]: 20 [0], given: 0

10 Jun 2004, 05:13
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# Old good absolute values

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