FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

First Root of Quadratic Equation given Discriminant Formula

GoFirst Root of Quadratic Equation Formula

Fx Copy

LaTeX Copy

First Root of Quadratic Equation is the value of one of the variables satisfying the given quadratic equation f(x), such that f(x1) = 0. Check FAQs

x 1 = \frac{- b + \sqrt{D}}{2 \cdot a}

x₁ - First Root of Quadratic Equation?b - Numerical Coefficient b of Quadratic Equation?D - Discriminant of Quadratic Equation?a - Numerical Coefficient a of Quadratic Equation?

First Root of Quadratic Equation given Discriminant Example

With values

With units

Only example

Here is how the First Root of Quadratic Equation given Discriminant equation looks like with Values.

Here is how the First Root of Quadratic Equation given Discriminant equation looks like with Units.

Here is how the First Root of Quadratic Equation given Discriminant equation looks like.

3 = \frac{- 8 + \sqrt{400}}{2 \cdot 2}

3 = \frac{- 8 + \sqrt{400}}{2 \cdot 2}

3 = \frac{- 8 + \sqrt{400}}{2 \cdot 2}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Algebra » Category

Quadratic Equation » fx First Root of Quadratic Equation given Discriminant

First Root of Quadratic Equation given Discriminant Solution

Follow our step by step solution on how to calculate First Root of Quadratic Equation given Discriminant?

FIRST Step Consider the formula

x 1 = \frac{- b + \sqrt{D}}{2 \cdot a}

Next Step Substitute values of Variables

∴

x 1 = \frac{- 8 + \sqrt{400}}{2 \cdot 2}

Next Step Prepare to Evaluate

∴

x 1 = \frac{- 8 + \sqrt{400}}{2 \cdot 2}

LAST Step Evaluate

∴

x 1 = 3

First Root of Quadratic Equation given Discriminant Formula Elements

Variables

Functions

First Root of Quadratic Equation

First Root of Quadratic Equation is the value of one of the variables satisfying the given quadratic equation f(x), such that f(x1) = 0.

Symbol: x₁

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find First Root of Quadratic Equation

Numerical Coefficient b of Quadratic Equation

Numerical Coefficient b of Quadratic Equation is a constant multiplier of the variables raised to the power one in a Quadratic Equation.

Symbol: b

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Numerical Coefficient b of Quadratic Equation

Discriminant of Quadratic Equation

Discriminant of Quadratic Equation is the expression that shows the nature of roots of the Quadratic Equation.

Symbol: D

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Discriminant of Quadratic Equation

Numerical Coefficient a of Quadratic Equation

Numerical Coefficient a of Quadratic Equation is a constant multiplier of the variables raised to the power two in a Quadratic Equation.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Numerical Coefficient a of Quadratic Equation

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find First Root of Quadratic Equation

Go First Root of Quadratic Equation

x 1 = \frac{- (b) + \sqrt{b^{2} - 4 \cdot a \cdot c}}{2 \cdot a}

Other formulas in Quadratic Equation category

Go Second Root of Quadratic Equation

x 2 = \frac{- (b) - \sqrt{b^{2} - 4 \cdot a \cdot c}}{2 \cdot a}

Go Discriminant of Quadratic Equation

D = (b^{2}) - (4 \cdot a \cdot c)

Go Product of Roots of Quadratic Equation

P (x1×x2) = \frac{c}{a}

Go Sum of Roots of Quadratic Equation

S (x1+x2) = - \frac{b}{a}

How to Evaluate First Root of Quadratic Equation given Discriminant?

First Root of Quadratic Equation given Discriminant evaluator uses First Root of Quadratic Equation = (-Numerical Coefficient b of Quadratic Equation+sqrt(Discriminant of Quadratic Equation))/(2*Numerical Coefficient a of Quadratic Equation) to evaluate the First Root of Quadratic Equation, The First Root of Quadratic Equation given Discriminant is defined as one of the solutions (or roots) obtained when solving the quadratic equation. First Root of Quadratic Equation is denoted by x₁ symbol.

How to evaluate First Root of Quadratic Equation given Discriminant using this online evaluator? To use this online evaluator for First Root of Quadratic Equation given Discriminant, enter Numerical Coefficient b of Quadratic Equation (b), Discriminant of Quadratic Equation (D) & Numerical Coefficient a of Quadratic Equation (a) and hit the calculate button.

FAQs on First Root of Quadratic Equation given Discriminant

What is the formula to find First Root of Quadratic Equation given Discriminant?

The formula of First Root of Quadratic Equation given Discriminant is expressed as First Root of Quadratic Equation = (-Numerical Coefficient b of Quadratic Equation+sqrt(Discriminant of Quadratic Equation))/(2*Numerical Coefficient a of Quadratic Equation). Here is an example- 3 = (-8+sqrt(400))/(2*2).

How to calculate First Root of Quadratic Equation given Discriminant?

With Numerical Coefficient b of Quadratic Equation (b), Discriminant of Quadratic Equation (D) & Numerical Coefficient a of Quadratic Equation (a) we can find First Root of Quadratic Equation given Discriminant using the formula - First Root of Quadratic Equation = (-Numerical Coefficient b of Quadratic Equation+sqrt(Discriminant of Quadratic Equation))/(2*Numerical Coefficient a of Quadratic Equation). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate First Root of Quadratic Equation?

Here are the different ways to Calculate First Root of Quadratic Equation-

First Root of Quadratic Equation=(-(Numerical Coefficient b of Quadratic Equation)+sqrt(Numerical Coefficient b of Quadratic Equation^2-4*Numerical Coefficient a of Quadratic Equation*Numerical Coefficient c of Quadratic Equation))/(2*Numerical Coefficient a of Quadratic Equation)

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

First Root of Quadratic Equation given Discriminant Formula

​GoFirst Root of Quadratic Equation Formula

First Root of Quadratic Equation given Discriminant Example

First Root of Quadratic Equation given Discriminant Solution

First Root of Quadratic Equation given Discriminant Formula Elements

Other Formulas to find First Root of Quadratic Equation

Other formulas in Quadratic Equation category

How to Evaluate First Root of Quadratic Equation given Discriminant?

FAQs on First Root of Quadratic Equation given Discriminant

Variable Name

GoFirst Root of Quadratic Equation Formula