One equation, two unknowns. How do I create a table of possible solutions?

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I have one equation and two unknowns. How do I create a table of possible solutions?
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John D'Errico
John D'Errico 2014-2-20
Infinitely many solutions, so an infinitely long table. You will be better off learning how to parameterize the solutions in a simple formula. Essentially learn the mathematics of how to solve your problem.

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回答(2 个)

SooShiant
SooShiant 2014-2-20
Here is a simple example which you can change the equation and range and solve yours. The equation is 12x+9y+7z-60=0 where x,y,z are integers varies 0 to 10:
x=[0:1:10];
y=[0:1:10];
z=[0:1:10];
[X,Y,Z]=ndgrid(x,y,z);
F=12.*X+9.*Y+7.*Z-60;
idx=find(F==0);
[X(idx(:)),Y(idx(:)),Z(idx(:))];
Equations of this type are known as Diophantine equations.

Youssef  Khmou
Youssef Khmou 2014-1-30
you have to define the support of the x,y , and you can infinite solutions

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