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Discriminant of Quadratic Equation Formula

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

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

D - Discriminant of Quadratic Equation?b - Numerical Coefficient b of Quadratic Equation?a - Numerical Coefficient a of Quadratic Equation?c - Numerical Coefficient c of Quadratic Equation?

Discriminant of Quadratic Equation Example

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

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

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

400 = (8^{2}) - (4 \cdot 2 \cdot -42)

400 = (8^{2}) - (4 \cdot 2 \cdot -42)

400 = (8^{2}) - (4 \cdot 2 \cdot -42)

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Discriminant of Quadratic Equation Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D = (8^{2}) - (4 \cdot 2 \cdot -42)

Next Step Prepare to Evaluate

∴

D = (8^{2}) - (4 \cdot 2 \cdot -42)

LAST Step Evaluate

∴

D = 400

Discriminant of Quadratic Equation Formula Elements

Variables

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 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

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

Numerical Coefficient c of Quadratic Equation

Numerical Coefficient c of Quadratic Equation is the constant term or a constant multiplier of the variables raised to the power zero in a Quadratic Equation.

Symbol: c

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Numerical Coefficient c of Quadratic Equation

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 Second Root of Quadratic Equation

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

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 Discriminant of Quadratic Equation?

Discriminant of Quadratic Equation evaluator uses Discriminant of Quadratic Equation = (Numerical Coefficient b of Quadratic Equation^2)-(4*Numerical Coefficient a of Quadratic Equation*Numerical Coefficient c of Quadratic Equation) to evaluate the Discriminant of Quadratic Equation, Discriminant of Quadratic Equation formula is defined as the expression that shows the nature of roots of the Quadratic Equation. Discriminant of Quadratic Equation is denoted by D symbol.

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

FAQs on Discriminant of Quadratic Equation

What is the formula to find Discriminant of Quadratic Equation?

The formula of Discriminant of Quadratic Equation is expressed as Discriminant of Quadratic Equation = (Numerical Coefficient b of Quadratic Equation^2)-(4*Numerical Coefficient a of Quadratic Equation*Numerical Coefficient c of Quadratic Equation). Here is an example- 400 = (8^2)-(4*2*(-42)).

How to calculate Discriminant of Quadratic Equation?

With Numerical Coefficient b of Quadratic Equation (b), Numerical Coefficient a of Quadratic Equation (a) & Numerical Coefficient c of Quadratic Equation (c) we can find Discriminant of Quadratic Equation using the formula - Discriminant of Quadratic Equation = (Numerical Coefficient b of Quadratic Equation^2)-(4*Numerical Coefficient a of Quadratic Equation*Numerical Coefficient c of Quadratic Equation).

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Discriminant of Quadratic Equation Formula

Discriminant of Quadratic Equation Example

Discriminant of Quadratic Equation Solution

Discriminant of Quadratic Equation Formula Elements

Other formulas in Quadratic Equation category

How to Evaluate Discriminant of Quadratic Equation?

FAQs on Discriminant of Quadratic Equation

Variable Name