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It discriminates between the conditions in which a quadratic equation has 0, 1 or 2 real roots.
The discriminant must be a perfect square or a square of a rational number.
In that case, the discriminant is not a perfect square.
There are two complex solutions.
That its roots (solutions) are coincident.
It has one real solution.
That the discriminant of the quadratic equation must be greater or equal to zero for it to have solutions. If the discriminant is less than zero then the quadratic equation will have no solutions.
It will then have 2 different roots If the discriminant is zero than it will have have 2 equal roots
a = 0. That is because a = 0 implies that there is no quadratic term and so the equation is not a quadratic!There may be some who make claims depending on the value of the discriminant (which is b2-4ac). That is true only for elementary mathematics. In more advanced mathematics (complex analysis), the quadratic equation can be used in all cases except when a = 0: the value of the discriminant is irrelevant.a = 0. That is because a = 0 implies that there is no quadratic term and so the equation is not a quadratic!There may be some who make claims depending on the value of the discriminant (which is b2-4ac). That is true only for elementary mathematics. In more advanced mathematics (complex analysis), the quadratic equation can be used in all cases except when a = 0: the value of the discriminant is irrelevant.a = 0. That is because a = 0 implies that there is no quadratic term and so the equation is not a quadratic!There may be some who make claims depending on the value of the discriminant (which is b2-4ac). That is true only for elementary mathematics. In more advanced mathematics (complex analysis), the quadratic equation can be used in all cases except when a = 0: the value of the discriminant is irrelevant.a = 0. That is because a = 0 implies that there is no quadratic term and so the equation is not a quadratic!There may be some who make claims depending on the value of the discriminant (which is b2-4ac). That is true only for elementary mathematics. In more advanced mathematics (complex analysis), the quadratic equation can be used in all cases except when a = 0: the value of the discriminant is irrelevant.
It discriminates between the conditions in which a quadratic equation has 0, 1 or 2 real roots.
The discriminant must be a perfect square or a square of a rational number.
In that case, the discriminant is not a perfect square.
There are two complex solutions.
That its roots (solutions) are coincident.
That its roots (solutions) are coincident.
C
It is finding the values of the variable that make the quadratic equation true.