Value of X for Maximum or Minimum Value of Quadratic Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Value of X for Maximum/Minimum Value of f(X) = -Numerical Coefficient b of Quadratic Equation/(2*Numerical Coefficient a of Quadratic Equation)
xMax/Min = -b/(2*a)
This formula uses 3 Variables
Variables Used
Value of X for Maximum/Minimum Value of f(X) - Value of X for Maximum/Minimum Value of f(X) is the location of the highest/lowest point of the Quadratic Equation depending on whether the coefficient 'a' is negative/positive respectively.
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.
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
Numerical Coefficient b of Quadratic Equation: 8 --> No Conversion Required
Numerical Coefficient a of Quadratic Equation: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
xMax/Min = -b/(2*a) --> -8/(2*2)
Evaluating ... ...
xMax/Min = -2
STEP 3: Convert Result to Output's Unit
-2 --> No Conversion Required
FINAL ANSWER
-2 <-- Value of X for Maximum/Minimum Value of f(X)
(Calculation completed in 00.004 seconds)

Credits

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Created by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
Dhruv Walia has created this Calculator and 1100+ more calculators!
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Verified by Nikita Kumari
The National Institute of Engineering (NIE), Mysuru
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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

Value of X for Maximum or Minimum Value of Quadratic Equation Formula

​LaTeX ​Go
Value of X for Maximum/Minimum Value of f(X) = -Numerical Coefficient b of Quadratic Equation/(2*Numerical Coefficient a of Quadratic Equation)
xMax/Min = -b/(2*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 Value of X for Maximum or Minimum Value of Quadratic Equation?

Value of X for Maximum or Minimum Value of Quadratic Equation calculator uses Value of X for Maximum/Minimum Value of f(X) = -Numerical Coefficient b of Quadratic Equation/(2*Numerical Coefficient a of Quadratic Equation) to calculate the Value of X for Maximum/Minimum Value of f(X), The Value of X for Maximum or Minimum Value of Quadratic Equation formula is defined as the location of the highest or lowest point on the graph of the Quadratic Equation depending on whether the coefficient 'a' is negative or positive respectively. Value of X for Maximum/Minimum Value of f(X) is denoted by xMax/Min symbol.

How to calculate Value of X for Maximum or Minimum Value of Quadratic Equation using this online calculator? To use this online calculator for Value of X for Maximum or Minimum Value of Quadratic Equation, enter Numerical Coefficient b of Quadratic Equation (b) & Numerical Coefficient a of Quadratic Equation (a) and hit the calculate button. Here is how the Value of X for Maximum or Minimum Value of Quadratic Equation calculation can be explained with given input values -> -2 = -8/(2*2).

FAQ

What is Value of X for Maximum or Minimum Value of Quadratic Equation?
The Value of X for Maximum or Minimum Value of Quadratic Equation formula is defined as the location of the highest or lowest point on the graph of the Quadratic Equation depending on whether the coefficient 'a' is negative or positive respectively and is represented as xMax/Min = -b/(2*a) or Value of X for Maximum/Minimum Value of f(X) = -Numerical Coefficient b of Quadratic Equation/(2*Numerical Coefficient a 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 & 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 Value of X for Maximum or Minimum Value of Quadratic Equation?
The Value of X for Maximum or Minimum Value of Quadratic Equation formula is defined as the location of the highest or lowest point on the graph of the Quadratic Equation depending on whether the coefficient 'a' is negative or positive respectively is calculated using Value of X for Maximum/Minimum Value of f(X) = -Numerical Coefficient b of Quadratic Equation/(2*Numerical Coefficient a of Quadratic Equation). To calculate Value of X for Maximum or Minimum Value of Quadratic Equation, you need Numerical Coefficient b of Quadratic Equation (b) & Numerical Coefficient a of Quadratic Equation (a). With our tool, you need to enter the respective value for Numerical Coefficient b 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.
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