Thinking@TheCulture is a series of questions that we, as tutors feel that are useful in helping students think and improve their understanding.
Thinking Math@TheCulture is curated by KS. More of him can be found here.
(i) Find the two possible values of 
such that 
, leaving your answer in exact form 
, where 
and 
are real numbers.
(ii) Hence or otherwise, find the exact roots of the equation
— (1)
— (2)
into (1)
or 
(rej since 
)
