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By Jszab (Jszab) on Wednesday, March 03, 2004 - 12:33 pm: Edit |

W(0)=2

W(x1+x2) = W(x1)+W(x2) + 2x1x2 - 2

?

What do you think about way of putting somethings, and than make linked equations?

for example:

W(x+x)

W(x-x)

and so on.

?

By Averagemathgeek (Averagemathgeek) on Wednesday, March 03, 2004 - 11:37 pm: Edit |

I found a solution:

W(x-x)=W(x)+W(-x)-2x^2-2

W(x)+W(-x)=2x^2+4

This is where I went with my instincts: I assumed the function was even.

2W(x)=2x^2+4

W(x)=x^2+2

Here is the verification:

W(0)=0^2+2=2

W(x+y)=(x+y)^2+2=x^2+y^2+2xy+2

=x^2+2+y^2+2-4+2xy+2

=W(x)+W(y)+2xy-2

Hope this helps.

By Jszab (Jszab) on Thursday, March 04, 2004 - 02:50 am: Edit |

proof by example ;). Ok.

I'll try to find a proof for thesis it is even function. I am thinking by now about x^2+2 as an unchangable constant, independant from sign of unknowns.

Thank You very much indeed. Actually I had not tried with this question. I hope, that it helped You.

Why your physics scores are significantly lower than math scores [inverse of my scoress ;)]?

IF You will ever have problem with any physics, biology or chemistry task, do not hesitate, and write an e-mail:

jpsi@o2.pl

You have already saved my time .

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