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

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SVP
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How many real solutions are there? x^23|x|+2=0 [#permalink] New post 30 May 2003, 03:26
How many real solutions are there?
x^2–3|x|+2=0 :wow
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 [#permalink] New post 30 May 2003, 04:36
4 seems OK :drinking
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 [#permalink] New post 01 Jun 2003, 19:38
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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 [#permalink] New post 01 Jun 2003, 20:02
Expert's post
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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 [#permalink] New post 24 Mar 2004, 23:06
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] 24 Mar 2004, 23:06
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How many real solutions are there? x^23|x|+2=0

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