It discriminates between the conditions in which a quadratic equation has 0, 1 or 2 real roots.
it has one real solution
There are two complex solutions.
That its roots (solutions) are coincident.
The discriminant must be a perfect square or a square of a rational number.
An equation with a discriminant that is less than zero. Note that in getting the discriminant, use the general form: ax²+bx+c=0 D=b²-4ac
it has one real solution
There are two complex solutions.
That its roots (solutions) are coincident.
That its roots (solutions) are coincident.
The discriminant must be a perfect square or a square of a rational number.
It has one real solution.
An equation with a discriminant that is less than zero. Note that in getting the discriminant, use the general form: ax²+bx+c=0 D=b²-4ac
It will then have 2 different roots If the discriminant is zero than it will have have 2 equal roots
The discriminant tells you how many solutions there are to an equation The discriminant is b2-4ac For example, two solutions for a equation would mean the discriminant is positive. If it had 1 solution would mean the discriminant is zero If it had no solutions would mean that the discriminant is negative
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
If the discriminant is negative, there are 0 interceptsIf the discriminant is zero, there is 1 interceptIf the discriminant is positive, there are 2 intercepts
The equation has two real solutions.