MHB System of three equations x^2 + (xz) - y - z = 0

  • Thread starter Thread starter Anita6363
  • Start date Start date
  • Tags Tags
    System
Click For Summary
The discussion revolves around solving a system of three nonlinear equations involving variables x, y, and z. The equations presented are y^2 + (yx) - z - x = 0, z^2 + (zy) - x - y = 0, and x^2 + (xz) - y - z = 0. A proposed solution is x = y = z = 1, which satisfies all three equations. Participants are encouraged to verify this solution or explore other potential solutions. The focus remains on finding valid values for the variables that meet the criteria set by the equations.
Anita6363
Messages
2
Reaction score
0
Find x, y, z solving all the three equations:

y^2 + (y*x) - z - x = 0z^2 + (z*y) - x - y = 0x^2 + (x*z) - y - z = 0I would be very grateful!
 
Mathematics news on Phys.org
x = y = z = 1
 

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Similar threads

I Adding 'z' to 2D graph equation
  • · Replies 3 ·
Replies
3
Views
2K
MHB What is the Sum of x, y, and z in a Non-Negative Real Number System?
  • · Replies 4 ·
Replies
4
Views
1K
MHB Solve System of Equalities: x^2+xy+y^2, x^2+xz+z^2, y^2+yz+z^2
  • · Replies 7 ·
Replies
7
Views
2K
I Best way to fit three functions
  • · Replies 2 ·
Replies
2
Views
1K
MHB Prove Divisibility: $(x-y)^2+(y-z)^2+(z-x)^2=xyz$ yields $x^3+y^3+z^3$
  • · Replies 1 ·
Replies
1
Views
2K
MHB System of Equations: Find Triples $(x,y,z)$
  • · Replies 1 ·
Replies
1
Views
1K
I ##x\lt y \lt z## positive integer numbers and if ##\dfrac 1x+\dfrac 1y+\dfrac 1z=\dfrac 13##
  • · Replies 6 ·
Replies
6
Views
2K
MHB Solving System of Equalities: x^2-y\sqrt xy & y^2-x\sqrt xy =3
  • · Replies 2 ·
Replies
2
Views
1K
I Transforming coordinates between Cartesian and spherical
  • · Replies 1 ·
Replies
1
Views
2K
MHB Integer solutions of system of equations
  • · Replies 5 ·
Replies
5
Views
1K