Contents

- 1 How do I find the discriminant?
- 2 How do you find the discriminant on a calculator?
- 3 What happens when B 2 4ac 0?
- 4 How do you tell if the discriminant is positive on a graph?
- 5 How do you know if the discriminant is negative?
- 6 What is a repeated real number solution?
- 7 Why is getting the discriminant important?
- 8 Are there two distinct real roots?
- 9 How do you find the number of roots in an equation?
- 10 What number and type of roots are associated with a discriminant of?

## How do I find the discriminant?

The discriminant is the part of the quadratic formula underneath the square root symbol: b²-4ac. The discriminant tells us whether there are two solutions, one solution, or no solutions.

## How do you find the discriminant on a calculator?

The procedure to use the discriminant calculator is as follows:

- Step 1: Enter the coefficient values such as “a”, “b” and “c” in the given input fields.
- Step 2: Now click the button “Solve” to get the output.
- Step 3: The discriminant value will be displayed in the output field.
- Discriminant, D = b
^{2}– 4ac.

## What happens when B 2 4ac 0?

1. b^{2} − 4ac < 0 There are no real roots. 2. b^{2} − 4ac = 0 There is one real root.

## How do you tell if the discriminant is positive on a graph?

Remember, the solutions to a quadratic equation are often called roots or zeros. The roots/zeros/solutions are the the values for x that make the equation equal to 0. On a graph, this will be where the parabola crosses the x-axis. Anytime the discriminant is positive, the graph will cross the x-axis twice.

## How do you know if the discriminant is negative?

The discriminant is the term underneath the square root in the quadratic formula and tells us the number of solutions to a quadratic equation. If the discriminant is positive, we know that we have 2 solutions. If it is negative, there are no solutions and if the discriminant is equal to zero, we have one solution.

## What is a repeated real number solution?

When the left side factors into two linear equations with the same solution, the quadratic equation is said to have a repeated solution. We also call this solution a root of multiplicity 2, or a double root. SOLVING BY THE SQUARE.

## Why is getting the discriminant important?

The quadratic equation discriminant is important because it tells us the number and type of solutions. This information is helpful because it serves as a double check when solving quadratic equations by any of the four methods (factoring, completing the square, using square roots, and using the quadratic formula).

## Are there two distinct real roots?

For the quadratic equation ax2 + bx + c = 0, the expression b2 – 4ac is called the discriminant. The value of the discriminant shows how many roots f(x) has: – If b2 – 4ac > 0 then the quadratic function has two distinct real roots. – If b2 – 4ac < 0 then the quadratic function has no real roots.

## How do you find the number of roots in an equation?

To work out the number of roots a qudratic ax^{2}+bx+c=0 you need to compute the discriminant (b^{2}-4ac). If the discrimant is less than 0, then the quadratic has no real roots. If the discriminant is equal to zero then the quadratic has equal roosts. If the discriminant is more than zero then it has 2 distinct roots.

## What number and type of roots are associated with a discriminant of?

The expression under the square root, b2−4ac, is called the discriminant. Can you make a conjecture about the relationship between the discriminant and the roots of quadratic equations? Investigating the nature of roots.

rational | unequal | real |
---|---|---|

perfect square | irrational | undefined |