**Answiki**on 09/27/2022 at 05:20:01 PM UTC

# How to calculate the roots of a quadratic equation?

**Answiki**on 09/27/2022 at 05:24:37 PM UTC

A **quadratic equation** can be solved in two steps (calculation of **discriminant** and **roots**). The solutions of this equation are called **the roots**. A quadratic equation may have one or two roots.

Let's consider the following equation in its standard form:

** Step 1.** Calculate the discriminant given by the following formula:

** Step 2.** Calculate the roots according to the sign of the discriminant (

**Case 1:** if

**Case 2:** if

**Case 3:** if

__Example:__

Let's consider the following quadratic equation:

Parameters of the equation are:

The discriminant is given by:

The discriminant is positive, thus the quadratic equation has two distinct real roots given by:

**Answiki**on 09/27/2022 at 05:24:37 PM

A **quadratic equation** can be solved in two steps (calculation of **discriminant** and **roots**). The solutions of this equation are called **the roots**. A quadratic equation may have one or two roots.

Let's consider the following equation in its standard form:

** Step 1.** Calculate the discriminant given by the following formula:

** Step 2.** Calculate the roots according to the sign of the discriminant (

**Case 1:** if

**Case 2:** if

**Case 3:** if

__Example:__

Let's consider the following quadratic equation:

Parameters of the equation are:

The discriminant is given by:

The discriminant is positive, thus the quadratic equation has two distinct real roots given by:

**Answiki**09/27/2022 at 05:21:22 PM

**Answiki**09/27/2022 at 05:21:13 PM

**Answiki**09/27/2022 at 05:20:01 PM

**Answiki**09/27/2022 at 05:19:53 PM

**Answiki**09/27/2022 at 05:19:39 PM

**Answiki**on 09/27/2022 at 05:13:06 PM

A quadratic equation can be solved in two steps (calculation of discriminant and roots). Let's consider the following equation in its standard form:

** Step 1.** Calculate the discriminant given by the following formula:

** Step 2.** Calculate the roots according to the sign of the discriminant (

**Case 1:** if

**Case 2:** if

**Case 3:** if

__Example:__

Let's consider the following quadratic equation:

Parameters of the equation are:

The discriminant is given by:

The discriminant is positive, thus the quadratic equation has two distinct real roots given by:

**Answiki**on 09/27/2022 at 05:09:19 PM

A quadratic equation can be solved in two steps. Let's consider the following equation in its standard form:

** Step 1.** Calculate the discriminant given by the following formula:

** Step 2.** Calculate the roots according to the sign of

**Case 1:** if

**Case 2:** if

**Case 3:** if

__Example:__

Let's consider the following quadratic equation:

Parameters of the equation are:

The discriminant is given by:

The discriminant is positive, thus the quadratic equation has two distinct real roots given by:

**Answiki**on 09/27/2022 at 05:06:04 PM

A quadratic equation can be solved in two steps. Let's consider the following equation in its standard form:

** Step 1.** Calculate the discriminant given by the following formula:

** Step 2.** Calculate the roots according to the sign of

**Case 1:** if

**Case 2:** if

**Case 3:** if

__Example:__

Let's consider the following quadratic equation:

Parameters of the equation are:

The discriminant is given by:

The discriminant is positive, thus the quadratic equation has two distinct real roots given by:

**Answiki**09/27/2022 at 04:51:46 PM

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