What happens when the discriminant is equal to 0?
What happens when the discriminant is equal to 0?
A discriminant of zero indicates that the quadratic has a repeated real number solution. A negative discriminant indicates that neither of the solutions are real numbers.
Is discriminant is equal to zero?
If the discriminant is equal to zero, this means that the quadratic equation has two real, identical roots. Therefore, there are two real, identical roots to the quadratic equation x2 + 2x + 1. D > 0 means two real, distinct roots. D < 0 means no real roots.
What type of solution if the discriminant is 0?
If the discriminant is equal to 0, the quadratic equation has 1 real solution. If the discriminant is less than 0, the quadratic equation has 0 real solutions.
How many solutions does the discriminant of 0 have?
one solution
It tells you the number of solutions to a quadratic equation. If the discriminant is greater than zero, there are two solutions. If the discriminant is less than zero, there are no solutions and if the discriminant is equal to zero, there is one solution.
What does the discriminant tell us about the graph?
The discriminant tells you how many solutions there are to quadratic equation or how many x intercepts there are for a parabola.
How does the discriminant relate to a graph?
The discriminant shows you the type and number of solutions of the graph. If b2 – 4ac > 0, the graph has two real solutions. If b2 – 4ac = 0, the graph has one real solution. If b2 – 4ac < 0, the graph has two imaginary solutions.
Is a discriminant of 0 rational or irrational?
The discriminant (EMBFQ)
| Nature of roots | Discriminant |
|---|---|
| Roots are non-real | Δ<0 |
| Roots are real and equal | Δ=0 |
| Roots are real and unequal: rational roots irrational roots | Δ>0 Δ= squared rational Δ= not squared rational |
What does it mean if the discriminant is less than 0?
no real roots
If the discriminant of a quadratic function is less than zero, that function has no real roots, and the parabola it represents does not intersect the x-axis.
When the discriminant of a quadratic equation is equal to zero?
When the discriminant is equal to 0, there is exactly one real root. When the discriminant is less than zero, there are no real roots, but there are exactly two distinct imaginary roots. In this case, there is exactly one real root. This value of x is the one distinct real root of the given equation.
