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# How many real solutions are there? x^23|x|+2=0

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SVP
Joined: 03 Feb 2003
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How many real solutions are there? x^23|x|+2=0 [#permalink]

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30 May 2003, 04:26
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

How many real solutions are there?
x^2–3|x|+2=0
SVP
Joined: 03 Feb 2003
Posts: 1604
Followers: 9

Kudos [?]: 268 [0], given: 0

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30 May 2003, 05:36
4 seems OK
Intern
Joined: 25 May 2003
Posts: 17
Location: Thailand
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01 Jun 2003, 20:38
How many real solutions are there?
x^2тАУ3|x|+2=0

In my view, the answer is 2 and -2. I know that 1 and - 1 too Try to put these numbers in the problem. Why others said 4 ? but don't know how to solve.
Founder
Joined: 04 Dec 2002
Posts: 14939
Location: United States (WA)
GMAT 1: 750 Q49 V42
GPA: 3.5
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Kudos [?]: 25153 [0], given: 4756

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01 Jun 2003, 21:02
somratp wrote:
How many real solutions are there?
x^2тАУ3|x|+2=0

In my view, the answer is 2 and -2. I know that 1 and - 1 too Try to put these numbers in the problem. Why others said 4 ? but don't know how to solve.

They meant 4 roots: 2, -2, 1, and -1
Senior Manager
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25 Mar 2004, 00:06
somratp wrote:
How many real solutions are there?
x^2тАУ3|x|+2=0

In my view, the answer is 2 and -2. I know that 1 and - 1 too Try to put these numbers in the problem. Why others said 4 ? but don't know how to solve.

Case 1: x >= 0, x^2 - 3x+2 = (x-2)(x-1) = 0, {1, 2}
Case 2: x < 0, x^2+3x+2 = (x+2)(x+1) = 0, {-1, -2}
25 Mar 2004, 00:06
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