# How to solve a really nasty system of nonlinear equations?

Check our answers to ‘How to solve a really nasty system of nonlinear equations?’ - we found 17 replies and comments relevant to this matter. The best answers are submitted by users of Yahoo! Answers, Quora and ChaCha.

## Best solution

• ### Looking to solve a system of nonlinear equations using the newton-raphson method.?

The two equations are as follows: f(x) = x^2 + 3xy - 5 g(x) = 3x - y + 3 There are two roots and must show the work necessary to derive the iteration equations. Basically just need to get the equations in a form that can be evaluated and then a good initial guess for the determination of the roots (x_1 , y_1) and (x_2 , y_2).

Since you looking for points where y = 3x + 3, can't you just seek the roots of f1(x) = x^2 - 3x(3x...

## Other solutions

• ### How do I solve this nonlinear system of equations problem?

Solve: $x^2 - 4x - y = 4$ $x^2 + y = 2$ answers are $(x,y) \in \{(3,-7), (-1, 1)\}$.

Just add the two equations to get: 2 x^2 - 4x = 6 and solve that quadratic equation.

• ### When using the substitution method to solve a nonlinear system of equations, you should first see if you can one variable in one of the equations in the system

In the Substitution Method, we isolate one of the variables in one of the equations and substitute the...

isolate

• ### Solve the nonlinear system of equations?

x^2-3y^2=1 4x^2+3y^2=19 Answers are ((2,1),(2,-1),(-2,1),(-2,-1)) I think it's possible to solve using the elimination method but I'm not 100% sure

add them and solve for x...for each x value there will be 2 y values....don't forget that √x&sup...

2x-6y=5 5x-15y=2 I have been stressing over this problem like crazy and I am literally crying because I don't understand how to do it. The professor told us that she wasn't ...show more

You have to multiply both sides of the equation or else it is no longer an equivalent statement. -1...

• ### Can you help me solve this system of nonlinear equations?

x^2 + y^2 =113 x-y=1 Can you please show your steps so I can learn how to do this? I have been working on it and I am not getting anywhere. Thank you so much!!!

x=y+1 (y+1)^2+y^2=113 ---->y^2 + y - 56 = 0 , solve for y , then find x

• ### Solve the nonlinear system of equations for real solutions?

I am having a tough time. Please help me with this. Thank you, Mary Lou. x^2 + y^2 = 1 x^2 + (y + 2)^2 = 9 Options: 1 )There is no solution 2) The solution set is { }

If you graph the two equations, you can see that they are both circles, one of which is the unit circle...

• ### Determine the real solutions to the system of nonlinear equations.?

Determine the real solutions to the system of nonlinear equations. x^(2)+y^(2)=1 x^(2)+(y+1)^(2)=4 Give the solution set. Type an ordered pair. Type an exact answer, using radicals as needed. Can you please explain how to solve this. Thanks