It discriminates between the conditions in which a quadratic equation has 0, 1 or 2 real roots.
There are two complex solutions.
it has one real solution
That its roots (solutions) are coincident.
The discriminant must be a perfect square or a square of a rational number.
To accurately describe the discriminant for the graph, one would need to examine the nature of the roots of the quadratic equation represented by the graph. If the graph intersects the x-axis at two distinct points, the discriminant is positive. If it touches the x-axis at one point, the discriminant is zero. If the graph does not intersect the x-axis at all, the discriminant is negative.
There are two complex solutions.
it has one real solution
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
The equation has two real solutions.
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