Trivial and non trivial. [closed]

$\begingroup$

How do we know what to do when asked to find the solutions of given equations saying find the solution when it has non trivial solution??

$\endgroup$ 1

1 Answer

$\begingroup$

Often, solutions that involve a zero are called "trivial". Nonzero solutions or examples are considered to be "nontrivial". For example, the equation $3x+6y=0$ has the trivial solution $(x,y)=(0,0)$, and it has the nontrivial solution $(x,y)= (-2,1)$. So, back to your question, when the question tells you to find a nontrivial solution, you need to find a solution of the given equations that does not have a $0$ in it.

$\endgroup$ 6