Re: problem

Article View: alt.uu.math.misc

Article #40

#40

From: Virgil Hancher
Date: Sun, 27 Dec 1998 00:00

42 lines
1967 bytes

In article <01be319a$e3091360$1cc8fcc1@default>, "GREGB" <greg_b@usa.net> wrote:

> hi all,
> my problem is X^2-5X+6 ?
> 
> Aline 12.
> 
> best regards.

What about X^2-5X+6 ?

X^2-5X+6, by itself, is not a problem.

What is it that you want to do with X^2-5X+6?

If you want to complete the square,
   X^2-5X+6 =
   (X^2 -2(5/2)X + 25/4 ) + 6 - 25/4 =
   (X - 5/2)^2 - 1/4 =
   (-5/2)^2 - (1/2)^2, difference of two squares.

If you want to factor it, ( see the completion of the square above)
   X^2-5X+6 = 
   (X - 5/2 + 1/2)(X- 5/2 - 1/2) = 
   (X - 2)(X - 3).

If you want to solve X^2-5X+6 = 0, use the factorization above to get
   x = 2 or x = 3

If you want to apply the quadratic formula to X^2-5X+6 = 0,

   sqrt((-5)^2 - 4(1)(6)) = sqrt(1) = 1

   x = (-(-5)-1)/2 = 4/2 = 2
or
   x = (-(-5)+1)/3 = 6/2 = 3

Or do you want to do something else?

Technical Details

Message-ID: <vmhjr-2712981342470001@ftc-0406.dialup.frii.com>

Path: arc1-ca.pugleaf.net!unknown!not-for-mail

References: <01be319a$e3091360$1cc8fcc1@default>

Show Full Headers

Complete Article Headers

X-Google-Language: ENGLISH,ASCII-7-bit
X-Google-Thread: f7972,61b1e1cc1591246d
X-Google-Attributes: gidf7972,public
X-Google-Thread: 108dab,61b1e1cc1591246d
X-Google-Attributes: gid108dab,public
X-Google-Thread: 111d33,61b1e1cc1591246d
X-Google-Attributes: gid111d33,public
X-Google-Thread: 109d8a,61b1e1cc1591246d
X-Google-Attributes: gid109d8a,public
X-Google-Thread: 1077c2,61b1e1cc1591246d
X-Google-Attributes: gid1077c2,public
X-Google-Thread: 10d67e,61b1e1cc1591246d
X-Google-Attributes: gid10d67e,public
From: vmhjr@frii.com (Virgil Hancher)
Subject: Re: problem
Date: 1998/12/27
Message-ID: <vmhjr-2712981342470001@ftc-0406.dialup.frii.com>
X-Deja-AN: 426238323
References: <01be319a$e3091360$1cc8fcc1@default>
X-Complaints-To: abuse@frii.net
X-Trace: news.frii.net 914791329 216.17.134.150 (Sun, 27 Dec 1998 13:42:09 MST)
Organization: Front Range Internet, Inc. (800-935-6527)
NNTP-Posting-Date: Sun, 27 Dec 1998 13:42:09 MST
Newsgroups: alt.uu.math.misc,aus.mathematics,can.schoolnet.math.sr,fr.sci.automatique,sci.math,su.math

Reply to Parent Message