# Nature of roots of quadratic equations: The discriminant

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##### Examples

###### Lessons

**Positive Discriminant**

Without solving or graphing, determine the nature of the roots of the quadratic equation: $2x^2-12x+10=0$**Zero Discriminant**

Without solving or graphing, determine the nature of the roots of the quadratic equation: $x^2+4=4x$**Negative Discriminant**

Without solving or graphing, determine the nature of the roots of the quadratic equation: $x^2+x+1=0$