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Why was the number system extended beyond the reals for x^2 + 1 = 0?

AThe equation is cubic
BIts roots are irrational
CNo real number squares to -1
DIt has infinitely many roots
Answer & Solution
Correct answer: C. No real number squares to -1
Every real square is non-negative, so x^2 = -1 has no real solution and needs a larger system.
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