System involving nonlinear equations.

  • Thread starter D.K
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  • #1
D.K
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What is the best approach for obtaining the inverse of a system of equations involving nonlinear equations?
Say:
3x^2 - 2y = i
x + y = j
Solving for x and y in terms of i and j?
Note: This is not a homework problem, just a general question.
 

Answers and Replies

  • #2
Char. Limit
Gold Member
1,204
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What is the best approach for obtaining the inverse of a system of equations involving nonlinear equations?
Say:
3x^2 - 2y = i
x + y = j
Solving for x and y in terms of i and j?
Note: This is not a homework problem, just a general question.
Here, I would say y=j-x then substitute that in for y.

3x^2 - 2(j-x) = i

Solve for x...

[tex]x = \pm \frac{1}{3} \left(\sqrt{6 j+3 i+1}-1\right)[/tex]

Then, knowing what x is, substitute x in the second equation to express y in terms of i and j.
 
  • #3
D.K
2
0
Here, I would say y=j-x then substitute that in for y.

3x^2 - 2(j-x) = i

Solve for x...

[tex]x = \pm \frac{1}{3} \left(\sqrt{6 j+3 i+1}-1\right)[/tex]

Then, knowing what x is, substitute x in the second equation to express y in terms of i and j.
Thanks a lot. For some reason, I have always had difficulty with simple things like these!
 
  • #4
There are no workable non lin equations that aren't reduced to a sum lin eqautions

blah blah blah
 
  • #5
The real sht is identifying lin equations to reality
 

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