Contents

- 1 How do you use the discriminant to find roots?
- 2 How do you find the discriminant on a calculator?
- 3 What are the 4 ways to solve a quadratic equation?
- 4 Is 0 A real root?
- 5 How do you know if a quadratic equation has real solutions?
- 6 Are there two distinct real roots?
- 7 How do you know how many roots?
- 8 What are the 3 methods of solving quadratic equations?
- 9 What are the 5 ways to solve a quadratic equation?

## How do you use the discriminant to find roots?

Correct answer: b^{2} – 4ac = (8)^{2} – 4(1)(16) = 64 – 64 = 0. When the discriminant is greater than 0, there are two distinct real roots. 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.

## 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 are the 4 ways to solve a quadratic equation?

The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula.

## Is 0 A real root?

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

## How do you know if a quadratic equation has real solutions?

The discriminant is the part under the square root in the quadratic formula, b²-4ac. If it is more than 0, the equation has two real solutions. If it’s less than 0, there are no real solutions. If it’s equal to 0, there is one real solution.

## 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 know how many roots?

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.

## What are the 3 methods of solving quadratic equations?

There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square.

## What are the 5 ways to solve a quadratic equation?

There are several methods you can use to solve a quadratic equation: Factoring Completing the Square Quadratic Formula Graphing

- Factoring.
- Completing the Square.
- Quadratic Formula.
- Graphing.