Answer
$a=1, b=0, c=1$
Work Step by Step
Step 1. Based on the given solutions, let $x_1=i, x_2=-i$
Step 2. The solutions satisfy the equation: $(x-x_1)(x-x_2)=0$
Step 3. Plug-in the solutions, we have $(x-i)(x+i)=0$ which gives $x^2+1=0$
Step 4. We can identify: $a=1, b=0, c=1$