Solve simple nonlinear equations in the form [A]x=b

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SUMMARY

The discussion focuses on solving simple nonlinear equations represented in the form [A]x=b, specifically highlighting the equations 3x = 30, x + 2y = 20, and x + yz = 15. The exact solution to these equations is identified as (10, 5, 1). The user seeks a robust method for solving such equations without resorting to numerical methods like Newton's method, emphasizing the potential for exact solutions in trivial cases.

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  • Knowledge of matrix representation in equations
  • Basic concepts of numerical methods
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Mathematicians, engineers, and students involved in solving nonlinear equations, as well as software developers interested in implementing algebraic solvers.

matthewjames812
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Hi! I have a simple set of nonlinear equations

1) 3x = 30

2) x+2y = 20

3) x + y*z = 15

Clearly the solution to this is (10,5,1) but I want to find a robust way to solve this type of problem [A]x=b (where [A] is a simple function of x) which doesn't involve numerically solving using Newtons method.

n2Hyz.jpg
 

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But it is very trivial to solve these particular examples exactly.
 

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