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Oldie but a goodie.
Much simpler version with a=2 b=1 and easier to follow.
I didn't check it, but I'm 99% sure you introduced an irrelevant root.
No use making a joke at this point as Americans don't Root!
CLUE
LET X = -2
X^2 = 4
X = SQRT(4)
X = 2
2 = -2
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