Question 12
If $a,b$ are real numbers satisfying $a^2+3a+1=0$ and $b^2+3b+1=0$, find $a/b+b/a$.
Source ambiguity: the hypotheses do not state that a and b are distinct. Preserve the question as printed; give every possible value and explain whether one value is determined. This response is assessed manually.
Source ambiguity: the hypotheses do not state that a and b are distinct. Preserve the question as printed; give every possible value and explain whether one value is determined. This response is assessed manually.