解答
If $D > 0$, 2 distinct real solutions; if $D = 0$, exactly 1 real solution; if $D < 0$, 2 complex/no real solutions.
解説
The discriminant is derived under the radical in the quadratic formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$.
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For the quadratic equation $ax^2 + bx + c = 0$, what does the discriminant $D = b^2 - 4ac$ determine?
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