Math Is Fun Forum

Enshrouded_

Member

Registered: 2015-07-31

Posts: 47

Algebra

Deletd

Last edited by Enshrouded_ (2016-04-23 03:58:27)

thickhead

Member

Registered: 2016-04-16

Posts: 1,086

Re: Algebra

The product of the four roots is to be 6.
Hence x=3 is certainly a root  if x=6 is not a root( so we can say it can be a root) but it can not be a double root.
However x=1  certainly a double root  the other roots being 2 & 3.
x=1 can be a triple root the other root being 6.

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{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

deoxysxxxx

Member

Registered: 2014-12-21

Posts: 9

Re: Algebra

Wait. I still don't get it.

thickhead

Member

Registered: 2016-04-16

Posts: 1,086

Re: Algebra

The product of all roots is the constant in the expression. 6 can be split into 6x1x1x1 when you have 3 roots of 1.
3x2x1x1 gives two double roots =1 and one root of 2 and one root of 3. There is no possibility of 3 having double roots as the product comes to 9 at least.

---

{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}