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Second Root of Quadratic Equation given Discriminant Formula

GoSecond Root of Quadratic Equation Formula

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Second Root of Quadratic Equation is the value of one of the variables satisfying the given quadratic equation f(x), such that f(x2) = 0. Check FAQs

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

x₂ - Second Root of Quadratic Equation?b - Numerical Coefficient b of Quadratic Equation?D - Discriminant of Quadratic Equation?a - Numerical Coefficient a of Quadratic Equation?

Second Root of Quadratic Equation given Discriminant Example

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

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

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

-7 = \frac{- 8 - \sqrt{400}}{2 \cdot 2}

-7 = \frac{- 8 - \sqrt{400}}{2 \cdot 2}

-7 = \frac{- 8 - \sqrt{400}}{2 \cdot 2}

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Second Root of Quadratic Equation given Discriminant Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

LAST Step Evaluate

∴

x 2 = -7

Second Root of Quadratic Equation given Discriminant Formula Elements

Variables

Functions

Second Root of Quadratic Equation

Second Root of Quadratic Equation is the value of one of the variables satisfying the given quadratic equation f(x), such that f(x2) = 0.

Symbol: x₂

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Second 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 Second Root of Quadratic Equation

Go Second Root of Quadratic Equation

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

Other formulas in Quadratic Equation category

Go First Root of Quadratic Equation

x 1 = \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 Second Root of Quadratic Equation given Discriminant?

Second Root of Quadratic Equation given Discriminant evaluator uses Second 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 Second Root of Quadratic Equation, The Second Root of Quadratic Equation given Discriminant formula is defined as one of the solutions (or roots) obtained when solving the quadratic equation. Second Root of Quadratic Equation is denoted by x₂ symbol.

How to evaluate Second Root of Quadratic Equation given Discriminant using this online evaluator? To use this online evaluator for Second 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 Second Root of Quadratic Equation given Discriminant

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

The formula of Second Root of Quadratic Equation given Discriminant is expressed as Second 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- -7 = (-8-sqrt(400))/(2*2).

How to calculate Second 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 Second Root of Quadratic Equation given Discriminant using the formula - Second 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 Second Root of Quadratic Equation?

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

Second 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)

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Second Root of Quadratic Equation given Discriminant Formula

​GoSecond Root of Quadratic Equation Formula

Second Root of Quadratic Equation given Discriminant Example

Second Root of Quadratic Equation given Discriminant Solution

Second Root of Quadratic Equation given Discriminant Formula Elements

Other Formulas to find Second Root of Quadratic Equation

Other formulas in Quadratic Equation category

How to Evaluate Second Root of Quadratic Equation given Discriminant?

FAQs on Second Root of Quadratic Equation given Discriminant

Variable Name

GoSecond Root of Quadratic Equation Formula