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

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SVP
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New post 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 :wow
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New post 30 May 2003, 05:36
4 seems OK :drinking
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New post 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.
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New post 01 Jun 2003, 21:02
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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
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New post 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}
  [#permalink] 25 Mar 2004, 00:06
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How many real solutions are there? x^23|x|+2=0

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