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Why does a negative disciminant indicate this number of real solutions

Why does a negative disciminant indicate this number of real solutions
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Why does a negative disciminant indicate this number of real solutions

User Whelch
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A negative discriminant indicates no real solutions, since you cannot take the square root of a negative number and get a real answer. Instead, you get an imaginary number, which cannot be graphed on a normal x/y graph.
User Michael Parkin
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