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.
If the discriminant of a quadratic equation is positive, it indicates that the equation has two distinct real roots. This means that the graph of the equation intersects the x-axis at two points. A positive discriminant also suggests that the solutions are not repeated and that the parabola opens either upward or downward, depending on the leading coefficient.
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.
It is true.
If the discriminant of a quadratic equation is positive, it indicates that the equation has two distinct real roots. This means that the graph of the equation intersects the x-axis at two points. A positive discriminant also suggests that the solutions are not repeated and that the parabola opens either upward or downward, depending on the leading coefficient.
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.
In graph form, the linear equation lies below the true line or curve.
The answer is TRUE because it is a straight line as the graph shows below. http://www.batesville.k12.in.us/physics/apphynet/Measurement/Images/d_vs_t2_graph.gif
The answer is TRUE because it is a straight line as the graph shows below. http://www.batesville.k12.in.us/physics/apphynet/Measurement/Images/d_vs_t2_graph.gif
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