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#1 2007-11-22 20:20:45

tony123
Member
Registered: 2007-08-03
Posts: 229

solve


Last edited by tony123 (2007-11-22 20:22:52)

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#2 2007-11-22 20:50:55

esatpllana
Member
Registered: 2007-11-22
Posts: 12

Re: solve

I'm interesting how to solve this can anyone solve this tongue


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#3 2007-11-22 22:57:37

gyanshrestha
Member
Registered: 2007-11-06
Posts: 41

Re: solve

let


then above simplifies to
..........1
.....2
..........3
eq. (1) and (2) give ralation in a and b
then it is difficult to factorize eq. (3)
can we factorize the third equation then i think we can solve.


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#4 2007-11-23 02:19:58

NullRoot
Member
Registered: 2007-11-19
Posts: 162

Re: solve

The simplest answer is x, y, z = 1.

If you want x, y, z to have different values and you want those values to work for all three equations, then here's the messy way...

We know:



So:

If you subtract the left side from the right, then you have:

Because the square roots on the left side can be either positive or negative, you don't know whether you will increase or decrease the number on the right side.
Using the third equation, we can deduce:

So:

And using the subtraction again:

So if you pick a value for X and Y, you might be able to work out what the corresponding Z value is.
For example, I've picked x=1, y=2. If we substitute these values and simplify then, we end up with:


We know √z = 3 - √y - √x from the first equation, so we can substitute in that:


So, dividing and then rearranging:

Because of the plus-minuses and the square roots, I think the right side might have 256 possible combinations (some combos will have the same value, though). Since z²+z is quadratic, I think that each of those combinations could have two answers.

So... rather than bother with any of the above, x=1, y=1, z=1. sleep


Trillian: Five to one against and falling. Four to one against and falling… Three to one, two, one. Probability factor of one to one. We have normality. I repeat, we have normality. Anything you still can’t cope with is therefore your own problem.

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#5 2007-11-23 06:50:38

esatpllana
Member
Registered: 2007-11-22
Posts: 12

Re: solve

thnx bro i will try to solve this in my way thnx


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Mitrovica My City
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