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how did you get this step please?Affinity said:But it could be shorter[think about why this works!]:
we want a such that the equations has 1 double solution for (x,y):
x^2 = 4ay
x-y+3=0
ie the discriminant of:
x - (x^2/4a) + 3 = 0
is 0
(1 + 3/a) = 0
a = -3