Have You Tried Swapping The Positions?

Algebra Level 3

\[\large{ \begin{cases} ax+a^2y + z = 0 \\ bx+b^2y + z = 0 \\ cx + c^2 y + z = 0 \end{cases}} \]

If the system of equations above has exactly one trivial solution, \((0,0,0) \), and that the constant non-zero coefficients \(a,b,c\) follows a geometric progression then the common ratio cannot be \(\text{______} \).

×

Problem Loading...

Note Loading...

Set Loading...