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

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Joined: 03 Feb 2003
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How many real solutions are there? x^23|x|+2=0 [#permalink]  30 May 2003, 03:26
How many real solutions are there?
x^2–3|x|+2=0
SVP
Joined: 03 Feb 2003
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4 seems OK
Intern
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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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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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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}
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# How many real solutions are there? x^23|x|+2=0

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