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.
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If the discriminant of a quadratic equation is less then 0 then it will have no real solutions.
If the discriminant of a quadratic equation is less than zero then it has no solutions.
The term "discriminant" is usually used for quadratic equations. If the discriminant is zero, then the equation has exactly one solution.
If you mean b^2 -4ac then it is the discriminant of a quadratic equation. If the discriminant equals 0 then the equation has 2 equal roots. If the discriminant is greater than 0 then the equation has 2 different roots. If the discriminant is less than 0 then it has no real roots.
It will then have 2 different roots If the discriminant is zero than it will have have 2 equal roots