The two roots of the quadratic equation coalesce into one.
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If the discriminant of a quadratic equation is zero then it has equal roots. If the discriminant is greater than zero then there are two different roots. If the discriminant is less than zero then there are no real roots.
With the standard notation, If b2 < 4ac then the discriminant is negative If b2 = 4ac then the discriminant is zero If b2 > 4ac then the discriminant is positive
That depends on the values of the polynomial but in general:- If the discriminant is greater than zero it has 2 solutions If the discriminant is equal to zero then it has 2 equal solutions If the discriminant is less than zero it has no solutions
If the discriminant of a quadratic equation is zero then it has two identical roots.
Two x intercepts- When the discriminant is greater than zeroOne x intercept- When the discriminant is equal to zeroNo x intercept- When the discriminant is less than zero