Assume, without loss of generality (because you can switch a and b and the expression would still be the same)
a = 1 + i
b = 1 - i
(worked out by quadratic formula)
x + 1 = cot theta
sub a, b, x+1 basically everything into LHS expression and simplify
thats completely fine! im happy you liked it, although i didnt manage to pull off this answer during the actual exam so it really is a shame. The time- limit is a complete bummer to conceptual questions :c
Not really much of an error, but just an inquiry about Q16 bii
Let DE = x
DE/BC = BF/BC = 1/root2 (because BF/BC = FG/CA = 1/root2 by corresponding sides of similar triangles in same ratio)
therefore, DE = BF = x and so BC = root2 x
FC = BC - BF = (root2 - 1)x
ZE = FC = (root2 - 1)x...
So basically, i just have to pretend that the first few questions are really easy, skip them and spend all my time trying to do the last question to be a 'beast'... right?