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Discriminant
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Main Concept
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The expression  is called the discriminant of the quadratic equation  . From the discriminant, you can determine how many real solutions (roots) the equation has:
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Discriminant Value
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Number of corresponding distinct real solutions
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positive
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2
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equal to zero
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1
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negative
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0
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Generate a random quadratic function by clicking on the button. Observe that the discriminant of the right hand side corresponds with the number of roots.
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