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# C|!)^23(|C|!)=2 find all solutions

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SVP
Joined: 03 Feb 2003
Posts: 1604

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19 Jun 2003, 00:32
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(|C|!)^2–3(|C|!)=–2

find all solutions
Manager
Joined: 24 Jun 2003
Posts: 146
Location: India

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26 Jun 2003, 07:06
Solutions are {-2,-1,0,1,2}

These are the values where the LHS equation and the line Y=-2 intersect
SVP
Joined: 03 Feb 2003
Posts: 1604

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26 Jun 2003, 23:23
prashant wrote:
Solutions are {-2,-1,0,1,2}

These are the values where the LHS equation and the line Y=-2 intersect

|C|!=A; therefore, A^2-3A+2+2=0
|C|!=1; C=0, 1, -1
|C|!=2; C=2, -2

What is the LHS?
Manager
Joined: 24 Jun 2003
Posts: 146
Location: India

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26 Jun 2003, 23:33
LHS = Left hand side of the equation

I plotted the equation (|C|!)^2тАУ3(|C|!) and compared the graph with the line Y=-2 to find the common solutions
SVP
Joined: 03 Feb 2003
Posts: 1604

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26 Jun 2003, 23:55
Yeah... sometimes, it is the only possible way to move ahead - to draw graphs. In my case, yet, it has been a simple quadratic equation...

Anyway, you are a strong matemetician; it is nice to deal with you.
Manager
Joined: 24 Jun 2003
Posts: 146
Location: India

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27 Jun 2003, 00:01
Stolyar, the pleasure is mine !

PS: EQUATION MOD4   [#permalink] 27 Jun 2003, 00:01
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