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Maximum or Minimum Value of Quadratic Equation using Discriminant Calculator

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Quadratic Equation

✖Discriminant of Quadratic Equation is the expression that shows the nature of roots of the Quadratic Equation.ⓘ Discriminant of Quadratic Equation [D]			+10% -10%
✖Numerical Coefficient a of Quadratic Equation is a constant multiplier of the variables raised to the power two in a Quadratic Equation.ⓘ Numerical Coefficient a of Quadratic Equation [a]			+10% -10%

✖Maximum/Minimum Value of Quadratic Equation is the highest or lowest point on the graph of the Quadratic Equation depending on whether the coefficient 'a' is negative or positive respectively.ⓘ Maximum or Minimum Value of Quadratic Equation using Discriminant [f_(x)Max/Min]

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Maximum or Minimum Value of Quadratic Equation using Discriminant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum/Minimum Value of Quadratic Equation = -Discriminant of Quadratic Equation/(4*Numerical Coefficient a of Quadratic Equation)
f_(x)Max/Min = -D/(4*a)
This formula uses 3 Variables

Variables Used

Maximum/Minimum Value of Quadratic Equation - Maximum/Minimum Value of Quadratic Equation is the highest or lowest point on the graph of the Quadratic Equation depending on whether the coefficient 'a' is negative or positive respectively.
Discriminant of Quadratic Equation - Discriminant of Quadratic Equation is the expression that shows the nature of roots of the 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.

STEP 1: Convert Input(s) to Base Unit

Discriminant of Quadratic Equation: 400 --> No Conversion Required
Numerical Coefficient a of Quadratic Equation: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_(x)Max/Min = -D/(4*a) --> -400/(4*2)

Evaluating ... ...

f_(x)Max/Min = -50

STEP 3: Convert Result to Output's Unit

-50 --> No Conversion Required

FINAL ANSWER

-50 <-- Maximum/Minimum Value of Quadratic Equation

(Calculation completed in 00.004 seconds)

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< Quadratic Equation Calculators

Second Root of Quadratic Equation

LaTeX Go 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)

First Root of Quadratic Equation

LaTeX Go 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)

Discriminant of Quadratic Equation

LaTeX Go Discriminant of Quadratic Equation = (Numerical Coefficient b of Quadratic Equation^2)-(4*Numerical Coefficient a of Quadratic Equation*Numerical Coefficient c of Quadratic Equation)

Product of Roots of Quadratic Equation

LaTeX Go Product of Roots = Numerical Coefficient c of Quadratic Equation/Numerical Coefficient a of Quadratic Equation

Maximum or Minimum Value of Quadratic Equation using Discriminant Formula

LaTeX Go

Maximum/Minimum Value of Quadratic Equation = -Discriminant of Quadratic Equation/(4*Numerical Coefficient a of Quadratic Equation)
f_(x)Max/Min = -D/(4*a)

What is a Quadratic Equation?

A Quadratic Equation is an algebraic equation in some variable x with the highest degree of terms being 2. The Quadratic Equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a Quadratic Equation is the coefficient of x2 is a non-zero term(a ≠ 0). If the discriminant is positive, then the Quadratic Equation will have two real roots. If the discriminant is zero, then the Quadratic Equation will have one real root. If the discriminant is negative, then the Quadratic Equation will not have any real roots.

How to Calculate Maximum or Minimum Value of Quadratic Equation using Discriminant?

Maximum or Minimum Value of Quadratic Equation using Discriminant calculator uses Maximum/Minimum Value of Quadratic Equation = -Discriminant of Quadratic Equation/(4*Numerical Coefficient a of Quadratic Equation) to calculate the Maximum/Minimum Value of Quadratic Equation, The Maximum or Minimum Value of Quadratic Equation using Discriminant formula is defined as the highest or lowest point on the graph of the Quadratic Equation depending on whether the coefficient 'a' is negative or positive respectively and calculated using the discriminant of the Quadratic Equation. Maximum/Minimum Value of Quadratic Equation is denoted by f_(x)Max/Min symbol.

How to calculate Maximum or Minimum Value of Quadratic Equation using Discriminant using this online calculator? To use this online calculator for Maximum or Minimum Value of Quadratic Equation using Discriminant, enter Discriminant of Quadratic Equation (D) & Numerical Coefficient a of Quadratic Equation (a) and hit the calculate button. Here is how the Maximum or Minimum Value of Quadratic Equation using Discriminant calculation can be explained with given input values -> -50 = -400/(4*2).

FAQ

What is Maximum or Minimum Value of Quadratic Equation using Discriminant?

The Maximum or Minimum Value of Quadratic Equation using Discriminant formula is defined as the highest or lowest point on the graph of the Quadratic Equation depending on whether the coefficient 'a' is negative or positive respectively and calculated using the discriminant of the Quadratic Equation and is represented as f_(x)Max/Min = -D/(4*a) or Maximum/Minimum Value of Quadratic Equation = -Discriminant of Quadratic Equation/(4*Numerical Coefficient a of Quadratic Equation). Discriminant of Quadratic Equation is the expression that shows the nature of roots of the Quadratic Equation & Numerical Coefficient a of Quadratic Equation is a constant multiplier of the variables raised to the power two in a Quadratic Equation.

How to calculate Maximum or Minimum Value of Quadratic Equation using Discriminant?

The Maximum or Minimum Value of Quadratic Equation using Discriminant formula is defined as the highest or lowest point on the graph of the Quadratic Equation depending on whether the coefficient 'a' is negative or positive respectively and calculated using the discriminant of the Quadratic Equation is calculated using Maximum/Minimum Value of Quadratic Equation = -Discriminant of Quadratic Equation/(4*Numerical Coefficient a of Quadratic Equation). To calculate Maximum or Minimum Value of Quadratic Equation using Discriminant, you need Discriminant of Quadratic Equation (D) & Numerical Coefficient a of Quadratic Equation (a). With our tool, you need to enter the respective value for Discriminant of Quadratic Equation & Numerical Coefficient a of Quadratic Equation and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Maximum/Minimum Value of Quadratic Equation?

In this formula, Maximum/Minimum Value of Quadratic Equation uses Discriminant of Quadratic Equation & Numerical Coefficient a of Quadratic Equation. We can use 1 other way(s) to calculate the same, which is/are as follows -

Maximum/Minimum Value of Quadratic Equation = ((4*Numerical Coefficient a of Quadratic Equation*Numerical Coefficient c of Quadratic Equation)-(Numerical Coefficient b of Quadratic Equation^2))/(4*Numerical Coefficient a of Quadratic Equation)

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