The term "discriminant" is usually used for quadratic equations. If the discriminant is zero, then the equation has exactly one solution.
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It can tell you three things about the quadratic equation:- 1. That the equation has 2 equal roots when the discriminant is equal to zero. 2. That the equation has 2 distinctive roots when the discriminant is greater than zero. £. That the equation has no real roots when the discriminant is less than zero.
That its roots (solutions) are coincident.
If the discriminant of a quadratic equation is less than zero then it has no solutions.
It has 2 equal solutions
It will then have 2 different roots If the discriminant is zero than it will have have 2 equal roots