Quandaries
and Queries 

Who is asking: Student Level: Secondary Question: how to show sometimes the above has 2 roots, sometimes 1 root and sometimes no roots. Hopelessly lost on how to start... so far I have using 1. using 2. please help 

Hi Angel, I think your teacher is looking for values of a, b, c and that will give 1 root, 2 roots or no roots. For example if a = 1, d = 1 and b = c = 0 then the equation becomes
In this situation x can be 1 or 1 and thus this is a situation with 2 roots. Can you find choices for a, b, c and that will give no roots? 1 root? Penny 

