Solving Numerically the System: x^2+y^2=1 and xy=1/2

Thread starter wuyaosi
Start date Apr 27, 2009
Tags

System

AI Thread Summary

A user is seeking MATLAB code to numerically solve the system of equations x^2 + y^2 = 1 and xy = 1/2. A suggestion is made to solve the system exactly by substituting y with 1/(2x), leading to a quadratic equation in terms of z (where z = x^2). This approach simplifies the problem, allowing for exact solutions rather than numerical methods. The discussion emphasizes both numerical and exact solving techniques for the given equations.

Apr 27, 2009

wuyaosi

Hi,

I am looking for the code of Matlab which can led me to solve numerically this system
x^2+y^2=1
xy= 1/2

I want to write a programm which can be able to solve numerically the above syatem

Thanks in advance

Technology news on Phys.org

Apr 27, 2009

mXSCNT

You can solve it exactly. If you don't see the answer by inspection, try y=1/(2x), so x^2 + 1/(4x^2) = 1, so z^2 - z + 1/4 = 0, where z = x^2.

Thread 'How to connect Frontend and Backend?'

i am a cse student and as a second year student i started building apps. by sing chatgpt i am getting frontend files and backend files but i fail to connect those files. how to learn it and when i asked my friend he said learn about api keys. should i learn that or learn something new

View full post »

Thread 'Is this public key encryption?'

I've tried to intuit public key encryption but never quite managed. But this seems to wrap it up in a bow. This seems to be a very elegant way of transmitting a message publicly that only the sender and receiver can decipher. Is this how PKE works? No, it cant be. In the above case, the requester knows the target's "secret" key - because they have his ID, and therefore knows his birthdate.

View full post »

Thread 'Project Documentation'

Trying to package up a small bank account manager project that I have been tempering on for a while. One that is certainly worth something to me. Although I have created methods to whip up quick documents with all fields and properties. I would like something better to reference in order to express the mechanical functions. It is unclear to me about any standardized format for code documentation that exists. I have tried object orientated diagrams with shapes to try and express the...

View full post »