ITMC 2018 Grade 11 National Preliminary set01 Question 13

Question 13

Let $A$ be the solution set of $\log_{x+1}(x^2-3x+1)=1$. Consider (1) $A$ has two elements; (2) the product of all elements of $A$ is 0; (3) the sum of all elements of $A$ is 4. Which is correct?

Fewer than two statements are correct
Only (1) and (2)
Only (1) and (3)
Only (2) and (3)
All three